Simple method: Isolate the last digit , multiply by 2 and the subtract it from the truncated number. If the result is zero or a number which is a multiple of 7, then that number will be divisible by 7. E.g Take 343. Isolate the last 3 and multiply by 2 , i.e. 3 x2 =6. Now subtract 6 from 34 = 28. 28 is a multiple of 7, hence 343 is divisible by 7. Similarly for 13, isolate the last no. multiply by 4 and add to the truncated number, if it is zero or a no. a multiple of 13, then that no. is divisible by 13 For 17. it is proceed as above , the multiplying no. 5 and subtract For 19 - it is multiply by 2 and add. Procedure as above.
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The divisibility rules of every number from 1 to 100 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4; the 10s digit is even and the last digit is 0, 4 or 8, or the 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8; the 100s digit is even and the last 2 digits are a multiple of 8 or the 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16; the 1,000s digit is even and the last 3 digits are a multiple of 16 or the 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The difference between twice the last digit and the rest of the number is a multiple of 21 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32; the 10,000s digit is even and the last 4 digits are a multiple of 32 or the 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The sum of 10 times the last digit and the rest of the number is a multiple of 33 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The last 3 digits are a multiple of 40; the 100s digit is even and the last 2 digits are 00, 40 or 80, or the 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2 and 21 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50 51: The difference between 5 times the last digit and the rest of the number is a multiple of 51 52: The number is a multiple of 4 and 13 at the same time 53: The sum of 16 times the last digit and the rest of the number is a multiple of 53 54: The number is a multiple of 2 and 27 at the same time 55: The number is a multiple of 5 and 11 at the same time 56: The number is a multiple of 7 and 8 at the same time 57: The difference between 17 times the last digit and rest of the number is a multiple of 57 58: The number is a multiple of 2 and 29 at the same time 59: The sum of 6 times the last digit and the rest of the number is a multiple of 59 60: The number is a multiple of 3 and 20 at the same time 61: The difference between 6 times the last digit and the rest of the number is a multiple of 61 62: The number is a multiple of 2 and 31 at the same time 63: The sum of 19 times the last digit and the rest of the number is a multiple of 63 64: The last 6 digits are a multiple of 64; the 100,000s digit is even and the last 5 digits are a multiple of 64 or the 100,000s digit is odd and the last 5 digits are 32 times an odd number 65: The number is a multiple of 5 and 13 at the same time 66: The number is a multiple of 2 and 33 at the same time 67: The difference between 20 times the last digit and the rest of the number is a multiple of 67 68: The number is a multiple of 4 and 17 at the same time 69: The sum of 7 times the last digit and the rest of the number is a multiple of 69 70: The number is a multiple of 7 and 10 at the same time 71: The difference between 7 times the last digit and the rest of the number is a multiple of 71 72: The number is a multiple of 8 and 9 at the same time 73: The sum of 22 times the last digit and the rest of the number is a multiple of 73 74: The number is a multiple of 2 and 37 at the same time 75: The number is a multiple of 3 and 25 at the same time 76: The number is a multiple of 4 and 19 at the same time 77: The difference between 23 times the last digit and the rest of the number is a multiple of 77 78: The number is a multiple of 2 and 39 at the same time 79: The sum of 8 times the last digit and the rest of the number is a multiple of 79 80: The last 4 digits are a multiple of 80; the 1,000s digit is even and the last 3 digits are a multiple of 80 or the 1,000s digit is odd and the last 3 digits are 40 times an odd number 81: The difference between 8 times the last digit and the rest of the number is a multiple of 81 82: The number is a multiple of 2 and 41 at the same time 83: The sum of 25 times the last digit and the rest of the number is a multiple of 83 84: The number is a multiple of 4 and 21 at the same time 85: The number is a multiple of 5 and 17 at the same time 86: The number is a multiple of 2 and 43 at the same time 87: The difference between 26 times the last digit and the rest of the number is a multiple of 87 88: The number is a multiple of 8 and 11 at the same time 89: The sum of 9 times the last digit and the rest of the number is a multiple of 89 90: The number is a multiple of 9 and 10 at the same time 91: The difference between 9 times the last digit and the rest of the number is a multiple of 91 92: The number is a multiple of 4 and 23 at the same time 93: The sum of 28 times the last digit and the rest of the number is a multiple of 93 94: The number is a multiple of 2 and 47 at the same time 95: The number is a multiple of 5 and 19 at the same time 96: The number is a multiple of 3 and 32 at the same time 97: The difference between 29 times the last digit and the rest of the number is a multiple of 97 98: The number is a multiple of 2 and 49 at the same time 99: The sum of 10 times the last digit and the rest of the number is a multiple of 99 100: The number ends in 00
Hello, I write from Europe 🇪🇺 and I could to play the JOKER 🤡 about all divisibility rules between 1 to 1000 or more. But we both know that with big numbers isn't sense to Chek if a number for example 1634781 is divisible by 893 or 623 , because his OSCULATORS were be very big numbers and to do the calculations will bring us to much time!! But I still knew all OSCULATORS that you said and for this reason another way, and also *"really more faster"* , to know the DIVISIBILITY RULE of *11* ....i just subtract of any step just the unit "OSCULATORS 1" by the last digit of that number till to Chek i!! But what means to subtract just the "OSCULATORS 1" by the last digit? Easy, that means to subtract alwsys *"just the same last digit of the number that we will have step to step"* . For example *"235169"* is divisible by 11?? Of course yes, because -1×9= - 9, that means always the same digit: 23516|9 -9 ---------- 2350|7 then just subtract -7 -7 -------- 234|3 then just -3 -3 ------ 231 and now is very difficult to subtract just MINUS 1 😭, but I will try to do it🤣. So 23|1 -1 ---- *22* which is divisible by 11, but if somebody didn't know that 22 is divisible by 11, you could to continue to Chek it, doing simply 2|2-2= 0. 😩 But with the number *231* we could still stop to find the divisibility rule by 12, because we all know cause the MAGIC TRICK that 11×21 = the sum of the digit of 21 ~> 2+1=3, where we this 3 put in the midfke of 21 ~> 231. But why we can just to subtract the "OSCULATOR 1" by the divisibility rule of 11??For the same reason that you explained in your video: 11×1=11 and so 11-1=10 and so we take the only then ~> (1) that we have. But to do it a little bit more difficult(just 2%😂😂) we could to take also the *"OSCULATOR +10"* because 11×9=99 and so 99+1= 100. The question is, how many "THENS" we have in 100?? Of course only 10. So is easy that THE other OSCULATOR could be only the *"10"* . About any divisibility rule, if we Chek the first(of boths) *"osculators"* then the other is *"always the difference between the DIVISIBILITY RULE of a number X"* , in this case "11" and 1 = 10(which is the second oscurato. About the DIV. RULE of 7 are 5 and 2 because his sum is 7, about 13 are 4 and 9 because his sum is 13, just that every time one of them OSCURSTOR will be positive and the other negative!! Have a nice day. 💪🤙👍🇪🇺
I forgot the example by the div. Rule of 11 to sum 10 times the last digit, example 412|5 ~> 5*10= +50 ------ 46|2 ~> 2*10= +20 ------ 6|6 ~> 6*10= +60 ------- 66 ~> this 66 will be periodic😂😂🤦♂️🤦♂️, but we all know that 66 is divisible 11, that's all. Or we could to continue to use the "other osculator -1" in this way: 6|6 6×(-1)= -6 ----- *0* 💪 --------
Superb sir. Thanks 🙏
I am impressed sir
Please share extensively
Simple method: Isolate the last digit , multiply by 2 and the subtract it from the truncated number.
If the result is zero or a number which is a multiple of 7, then that number will be divisible by 7.
E.g Take 343. Isolate the last 3 and multiply by 2 , i.e. 3 x2 =6.
Now subtract 6 from 34 = 28. 28 is a multiple of 7, hence 343 is divisible by 7.
Similarly for 13, isolate the last no. multiply by 4 and add to the truncated number, if it is zero or a no. a multiple of 13, then that no. is divisible by 13
For 17. it is proceed as above , the multiplying no. 5 and subtract
For 19 - it is multiply by 2 and add. Procedure as above.
Sir, what about divisibility rules of other numbers?
what abt dividing by 13, 17, 19
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Spreading education without investing. Equipment are costly.
The divisibility rules of every number from 1 to 100
1: Every number is a multiple of 1
2: The number ends in 0, 2, 4, 6 or 8
3: The sum of the digits is a multiple of 3
4: The last 2 digits are a multiple of 4; the 10s digit is even and the last digit is 0, 4 or 8, or the 10s digit is odd and the last digit is 2 or 6
5: The number ends in 0 or 5
6: The number is a multiple of 2 and 3 at the same time
7: The difference between twice the last digit and the rest of the number is a multiple of 7
8: The last 3 digits are a multiple of 8; the 100s digit is even and the last 2 digits are a multiple of 8 or the 100s digit is odd and the last 2 digits are 4 times an odd number
9: The sum of the digits is a multiple of 9
10: The number ends in 0
11: The difference between the last digit and the rest of the number is a multiple of 11
12: The number is a multiple of 3 and 4 at the same time
13: The sum of 4 times the last digit and the rest of the number is a multiple of 13
14: The number is a multiple of 2 and 7 at the same time
15: The number is a multiple of 3 and 5 at the same time
16: The last 4 digits are a multiple of 16; the 1,000s digit is even and the last 3 digits are a multiple of 16 or the 1,000s digit is odd and the last 3 digits are 8 times an odd number
17: The difference between 5 times the last digit and the rest of the number is a multiple of 17
18: The number is a multiple of 2 and 9 at the same time
19: The sum of twice the last digit and the rest of the number is a multiple of 19
20: The number ends in 00, 20, 40, 60 or 80
21: The difference between twice the last digit and the rest of the number is a multiple of 21
22: The number is a multiple of 2 and 11 at the same time
23: The sum of 7 times the last digit and the rest of the number is a multiple of 23
24: The number is a multiple of 3 and 8 at the same time
25: The number ends in 00, 25, 50 or 75
26: The number is a multiple of 2 and 13 at the same time
27: The difference between 8 times the last digit and the rest of the number is a multiple of 27
28: The number is a multiple of 4 and 7 at the same time
29: The sum of thrice the last digit and the rest of the number is a multiple of 29
30: The number is a multiple of 3 and 10 at the same time
31: The difference between thrice the last digit and the rest of the number is a multiple of 31
32: The last 5 digits are a multiple of 32; the 10,000s digit is even and the last 4 digits are a multiple of 32 or the 10,000s digit is odd and the last 4 digits are 16 times an odd number
33: The sum of 10 times the last digit and the rest of the number is a multiple of 33
34: The number is a multiple of 2 and 17 at the same time
35: The number is a multiple of 5 and 7 at the same time
36: The number is a multiple of 4 and 9 at the same time
37: The difference between 11 times the last digit and the rest of the number is a multiple of 37
38: The number is a multiple of 2 and 19 at the same time
39: The sum of 4 times the last digit and the rest of the number is a multiple of 39
40: The last 3 digits are a multiple of 40; the 100s digit is even and the last 2 digits are 00, 40 or 80, or the 100s digit is odd and the last 2 digits are 20 or 60
41: The difference between 4 times the last digit and the rest of the number is a multiple of 41
42: The number is a multiple of 2 and 21 at the same time
43: The sum of 13 times the last digit and the rest of the number is a multiple of 43
44: The number is a multiple of 4 and 11 at the same time
45: The number is a multiple of 5 and 9 at the same time
46: The number is a multiple of 2 and 23 at the same time
47: The difference between 14 times the last digit and the rest of the number is a multiple of 47
48: The number is a multiple of 3 and 16 at the same time
49: The sum of 5 times the last digit and the rest of the number is a multiple of 49
50: The number ends in 00 or 50
51: The difference between 5 times the last digit and the rest of the number is a multiple of 51
52: The number is a multiple of 4 and 13 at the same time
53: The sum of 16 times the last digit and the rest of the number is a multiple of 53
54: The number is a multiple of 2 and 27 at the same time
55: The number is a multiple of 5 and 11 at the same time
56: The number is a multiple of 7 and 8 at the same time
57: The difference between 17 times the last digit and rest of the number is a multiple of 57
58: The number is a multiple of 2 and 29 at the same time
59: The sum of 6 times the last digit and the rest of the number is a multiple of 59
60: The number is a multiple of 3 and 20 at the same time
61: The difference between 6 times the last digit and the rest of the number is a multiple of 61
62: The number is a multiple of 2 and 31 at the same time
63: The sum of 19 times the last digit and the rest of the number is a multiple of 63
64: The last 6 digits are a multiple of 64; the 100,000s digit is even and the last 5 digits are a multiple of 64 or the 100,000s digit is odd and the last 5 digits are 32 times an odd number
65: The number is a multiple of 5 and 13 at the same time
66: The number is a multiple of 2 and 33 at the same time
67: The difference between 20 times the last digit and the rest of the number is a multiple of 67
68: The number is a multiple of 4 and 17 at the same time
69: The sum of 7 times the last digit and the rest of the number is a multiple of 69
70: The number is a multiple of 7 and 10 at the same time
71: The difference between 7 times the last digit and the rest of the number is a multiple of 71
72: The number is a multiple of 8 and 9 at the same time
73: The sum of 22 times the last digit and the rest of the number is a multiple of 73
74: The number is a multiple of 2 and 37 at the same time
75: The number is a multiple of 3 and 25 at the same time
76: The number is a multiple of 4 and 19 at the same time
77: The difference between 23 times the last digit and the rest of the number is a multiple of 77
78: The number is a multiple of 2 and 39 at the same time
79: The sum of 8 times the last digit and the rest of the number is a multiple of 79
80: The last 4 digits are a multiple of 80; the 1,000s digit is even and the last 3 digits are a multiple of 80 or the 1,000s digit is odd and the last 3 digits are 40 times an odd number
81: The difference between 8 times the last digit and the rest of the number is a multiple of 81
82: The number is a multiple of 2 and 41 at the same time
83: The sum of 25 times the last digit and the rest of the number is a multiple of 83
84: The number is a multiple of 4 and 21 at the same time
85: The number is a multiple of 5 and 17 at the same time
86: The number is a multiple of 2 and 43 at the same time
87: The difference between 26 times the last digit and the rest of the number is a multiple of 87
88: The number is a multiple of 8 and 11 at the same time
89: The sum of 9 times the last digit and the rest of the number is a multiple of 89
90: The number is a multiple of 9 and 10 at the same time
91: The difference between 9 times the last digit and the rest of the number is a multiple of 91
92: The number is a multiple of 4 and 23 at the same time
93: The sum of 28 times the last digit and the rest of the number is a multiple of 93
94: The number is a multiple of 2 and 47 at the same time
95: The number is a multiple of 5 and 19 at the same time
96: The number is a multiple of 3 and 32 at the same time
97: The difference between 29 times the last digit and the rest of the number is a multiple of 97
98: The number is a multiple of 2 and 49 at the same time
99: The sum of 10 times the last digit and the rest of the number is a multiple of 99
100: The number ends in 00
Hello, I write from Europe 🇪🇺 and I could to play the JOKER 🤡 about all divisibility rules between 1 to 1000 or more. But we both know that with big numbers isn't sense to Chek if a number for example 1634781 is divisible by 893 or 623 , because his OSCULATORS were be very big numbers and to do the calculations will bring us to much time!! But I still knew all OSCULATORS that you said and for this reason another way, and also *"really more faster"* , to know the DIVISIBILITY RULE of *11* ....i just subtract of any step just the unit "OSCULATORS 1" by the last digit of that number till to Chek i!! But what means to subtract just the "OSCULATORS 1" by the last digit? Easy, that means to subtract alwsys *"just the same last digit of the number that we will have step to step"* . For example *"235169"* is divisible by 11?? Of course yes, because -1×9= - 9, that means always the same digit:
23516|9
-9
----------
2350|7 then just subtract -7
-7
--------
234|3 then just -3
-3
------
231 and now is very difficult to
subtract just MINUS 1 😭,
but I will try to do it🤣. So
23|1
-1
----
*22*
which is divisible by 11, but if somebody didn't know that 22 is divisible by 11, you could to continue to Chek it, doing simply 2|2-2= 0. 😩 But with the number *231* we could still stop to find the divisibility rule by 12, because we all know cause the MAGIC TRICK that 11×21 = the sum of the digit of 21 ~> 2+1=3, where we this 3 put in the midfke of 21 ~> 231. But why we can just to subtract the "OSCULATOR 1" by the divisibility rule of 11??For the same reason that you explained in your video: 11×1=11 and so 11-1=10 and so we take the only then ~> (1) that we have. But to do it a little bit more difficult(just 2%😂😂) we could to take also the *"OSCULATOR +10"* because 11×9=99 and so 99+1= 100. The question is, how many "THENS" we have in 100?? Of course only 10. So is easy that THE other OSCULATOR could be only the *"10"* . About any divisibility rule, if we Chek the first(of boths) *"osculators"* then the other is *"always the difference between the DIVISIBILITY RULE of a number X"* , in this case "11" and 1 = 10(which is the second oscurato. About the DIV. RULE of 7 are 5 and 2 because his sum is 7, about 13 are 4 and 9 because his sum is 13, just that every time one of them OSCURSTOR will be positive and the other negative!! Have a nice day. 💪🤙👍🇪🇺
I forgot the example by the div. Rule of 11 to sum 10 times the last digit, example
412|5 ~> 5*10=
+50
------
46|2 ~> 2*10=
+20
------
6|6 ~> 6*10=
+60
-------
66 ~> this 66 will be
periodic😂😂🤦♂️🤦♂️, but we all know that 66 is divisible 11, that's all. Or we could to continue to use the "other osculator -1" in this way:
6|6 6×(-1)=
-6
-----
*0* 💪
--------