Just wanted to let you know that your videos are extremely valuable for everyone watching! I have a silly fear that you might stop uploading videos since it's not hitting high views yet! But people will find these videos eventually! Keep em coming! Thanks again! 😄
Thanks Jaya. It is tough sometimes. Takes discipline. Just want the world to know the cool tricks/processes. But comments like this really help. Thank you.
I did my GRE test yesterday, I needed 157 in the quant section for the university admission, and thanks to your help I got 160, thank you so much for your videos, you made my GRE journey easy and enjoyable
your videos are helping me boost my GRE score which i could not do for a long time. thank you so much and please dont stop doing this ,you are an excellent teacher.
(5:17) I utilized this approach... I multiplied 8 by 15 (8*15=120) and then check from the following numbers which is divisible of 120, that is (124/24) Therefore, 24 was the right answer😄
Wasn’t going to click on this as I figured I knew PF, but that last example is a life saver. Sometimes seeing insanely large numbers can be intimidating, but not anymore. Thank you brotha!!
I love the how you breakdown the problem into the most simplest. There are certain ways of explaining which gets registered in your brain and everytime I come across such a problem, I very well remember your explanation and I can never forget it. Thank you so much for doing such an excellent job!
I cannot thank you enough! I have not gotten a single prime factorization question correct on the practice questions/tests, but after watching your video I felt so much more confident! I was so freakin happy when I tried the last problem by myself and got it right! Keep it up!!! Your tricks save so much time, and I love that you stress to reason through problems!
Thanks a lot Philip, I was absolutely dreading about the quant section in GRE , but they say when a wonderful teacher comes by your way things start to seem fun and achievable. Thank you for all the tutorials and the good work you are doing! :)
So helpful. I watch all your videos day in and day out, thanks for your time and effort. 6 more weeks to my test and I was lucky enough to find this channel
This is the reason why I keep looking at your videos!! The last trick was sooooo under my nose but I've neve ever thought of doing it that way 🤦🏻🤦🏻🤦🏻 love the videos that you keep putting up!!!!
You are so brilliant. Thank you so much for these videos. May God bless you. I feel at ease as I prepare for my exam now. I can’t thank you enough. All your videos are gems.
You are a life saver, Philip! Loads of thanks! Pls cont your generosity in making these videos for resource crunched learners. May God bless you abundantly 🙌
The last trick is such a lifesaver! Why did I never thought about that xD Please make a video on Mixtures. Really need some tricks to solve those concentrations & percentages. Thanks ya :D
I have been watching your videos, they are structured perfectly, you explain the basics & share relevant strategies, you are a great teacher if not the best I daresay!
Thank you, subscribing right away after seeing the quality of this video. Looking forward to learning so much more with all your videos, amazing teacher
Just as u made distinction b/w FACTORS and PRIME FACTORS, it is also essential to highlight the negative factors. -1,-2,-3,-4,-6,-12 are also factors of 12
Very well explained and very informative! Thanks a lot for posting these videos! I found a very similar question in the OG GMAT book, and I was totally lost. The explanation in the book was at least 30 lines long and it was so complex to follow. Nobody would have time to do such process during the exam. Your method is 5 times simpler! :D
What a great start to the day! Thanks for sharing these shortcuts... U couldn't have put up this video at a better time. . please upload a few more videos in the next few days! 👌
To solve this problem, we'll use the concept of prime factorization. Let's start by finding the prime factorization of the numbers 8 and 15, since the integer in question is divisible by both. Prime Factorization of 8: 8 = 2 × 2 × 2 8=2×2×2 (8 is a power of 2, specifically 2 3 2 3 ) Prime Factorization of 15: 15 = 3 × 5 15=3×5 (15 is the product of the primes 3 and 5) An integer that is divisible by both 8 and 15 must have at least the prime factors of both 8 and 15 in its factorization. This means the integer must have at least three 2's (from 8) and one 3 and one 5 (from 15). Therefore, its prime factorization must include 2 × 2 × 2 × 3 × 5 2×2×2×3×5. Now, let's analyze the options: a) 16: 16 = 2 × 2 × 2 × 2 16=2×2×2×2 (16 is 2 4 2 4 ; it does not contain the factors 3 and 5) b) 24: 24 = 2 × 2 × 2 × 3 24=2×2×2×3 (24 contains three 2's and one 3, but lacks the factor 5) c) 32: 32 = 2 × 2 × 2 × 2 × 2 32=2×2×2×2×2 (32 is 2 5 2 5 ; it does not contain the factors 3 and 5) d) 36: 36 = 2 × 2 × 3 × 3 36=2×2×3×3 (36 contains two 2's and two 3's, but lacks the factor 5) Given this analysis, we see that none of the options a), b), c), or d) have the complete set of prime factors (three 2's, one 3, and one 5) that an integer divisible by both 8 and 15 must have. Therefore, the integer in question is not necessarily divisible by any of the options provided.
Love your videos super helpful! I was wondering if you could make a video on LCM and GCF that's one of the topics I'm still struggling with. Regardless, thank you so much for all the videos!!!
Would it be possible to break up 24 into something else such as 12 and 2 and then further break that down or does it need to be 8 and 3 to work? thank you
Just wanted to let you know that your videos are extremely valuable for everyone watching! I have a silly fear that you might stop uploading videos since it's not hitting high views yet! But people will find these videos eventually! Keep em coming! Thanks again! 😄
Thanks Jaya. It is tough sometimes. Takes discipline. Just want the world to know the cool tricks/processes. But comments like this really help. Thank you.
Couldn't agree more
really great content for people who can't afford paid classes. Thank you so much and you are a great teacher
already found them
😀
this type of work don't go Unnoticed
Great job. Your videos are helping me to clear up my concepts. Keep it up.
YOU DESERVE ALL OF THE GOOD THINGS THAT THIS WORLD HAS TO OFFER YOU SWEET GENIUS
I did my GRE test yesterday, I needed 157 in the quant section for the university admission, and thanks to your help I got 160, thank you so much for your videos, you made my GRE journey easy and enjoyable
Are these resources alone adequate to score 160?
@@atitpandey9383yes and no, as a learning tool they are, but you must do practice to get memorization down otherwise you won’t do good
Finding whether a number is prime or not by dividing ONLY with the prime numbers, like 2,3,5 or 7 was the great advice. THanks Philip!
You are amazing. Thank you so much. Please never stop sharing those valuable lessons with people around you. The world needs teachers like you.
The last trick was absolutely insane...I've never come across such an incredible trick in all my academic life
Philip's gesturing reminds me so much of one my favourite SWE tutors Max Schwarzmüller. Both excellent tutors in their own right.
You Sir, I don't usually like and comment on RUclips videos but you deserve it. You have no idea how much you are helping me. May Almighty bless you!
Thank you so much Anika!
your videos are helping me boost my GRE score which i could not do for a long time. thank you so much and please dont stop doing this ,you are an excellent teacher.
Thanks Sathya
I don't know where your accent is from, but I love it! It makes the lecture much more interesting a pleasant to hear
You’re the best tutor I have ever seen. God bless you
You deserve to get to a million.
In the first question (2:58), can we simply multiply 8 with 15 and see which of the following options divides the multiplied number (here 120)?
(5:17) I utilized this approach...
I multiplied 8 by 15 (8*15=120) and then check from the following numbers which is divisible of 120, that is (124/24)
Therefore, 24 was the right answer😄
Wasn’t going to click on this as I figured I knew PF, but that last example is a life saver. Sometimes seeing insanely large numbers can be intimidating, but not anymore. Thank you brotha!!
Worth a click! Thanks Sir
I love the how you breakdown the problem into the most simplest. There are certain ways of explaining which gets registered in your brain and everytime I come across such a problem, I very well remember your explanation and I can never forget it. Thank you so much for doing such an excellent job!
What a lovely comment, thank you
I wish I found your videos sooner. Its all my studying and mistakes are making SO much sense! Thank you!!!
I cannot thank you enough! I have not gotten a single prime factorization question correct on the practice questions/tests, but after watching your video I felt so much more confident! I was so freakin happy when I tried the last problem by myself and got it right! Keep it up!!! Your tricks save so much time, and I love that you stress to reason through problems!
hey do you have a link to the practice questuion
great videos - I spent thousands of dollars on books and tutoring, but these videos really help fill the gaps for me. Thank you!
Thanks a lot Philip, I was absolutely dreading about the quant section in GRE , but they say when a wonderful teacher comes by your way things start to seem fun and achievable. Thank you for all the tutorials and the good work you are doing! :)
So helpful. I watch all your videos day in and day out, thanks for your time and effort. 6 more weeks to my test and I was lucky enough to find this channel
Prime factorization has always been so intimidating to me! Thank you for these extremely useful tips. Now they are fun
👏🏾👏🏾 I was literally clapping after the video ended! Hats off to you, Phillip. These videos are ridiculously helpful. Keep up the amazing work.
Simply mind blowing! Haters would not hit the 'thumbs up' and it's as simple as that! Just keep going!
Thank you so much 😀
This is the reason why I keep looking at your videos!! The last trick was sooooo under my nose but I've neve ever thought of doing it that way 🤦🏻🤦🏻🤦🏻 love the videos that you keep putting up!!!!
You are so brilliant. Thank you so much for these videos. May God bless you. I feel at ease as I prepare for my exam now. I can’t thank you enough. All your videos are gems.
These videos are so incredibly helpful. For the longest time I didn't even know what to google for some of these skills. So glad I found this.
As always, impeccable!!.
You are a life saver, Philip! Loads of thanks! Pls cont your generosity in making these videos for resource crunched learners. May God bless you abundantly 🙌
Thank you so much! I have discovered your videos today and I have already loved them! Warmest greetings from a Russian in Paris
Enjoy Paris!
best tutor on youtube
You are honestly the best. I mean, I cannot even. THANK YOU.
Your comments are awesome! Thank you Neeti! :)
Two words.. Thank You and never stop
u r an amazing teacher with cool tricks 🌹🌹🌹🌹
Glad you think so!
I am extremely happy to find You! Now, the hope of getting the higher score seems more real to me ! :)
Thanks Anna. Keep going!
That was absolutely amazing!!! Thank you very very much Philip.
Your videos are EXACTLY what I was looking for - thank you!!!!!
Thank you. Going through the 5week playlist. Project 2024! Let's go!
Just one thing to say, Thank you !
The last trick is such a lifesaver! Why did I never thought about that xD
Please make a video on Mixtures. Really need some tricks to solve those concentrations & percentages. Thanks ya :D
You will never know how much you have helped me. Thank you alot.
Thank you Anita
This video has been extremely helpful!! Thank you so much!!
I have been watching your videos, they are structured perfectly, you explain the basics & share relevant strategies, you are a great teacher if not the best I daresay!
I appreciate that Tamjid!
Genius is back with the buzz!
Haha thanks Arif
Your videos are best. Thanks a lot.
Thanks a lot, Philip. Your videos are beneficial! You do such a great job explaining the material
Last Example solve technique is Excellent Philips 😊
You are an amazing teacher 🥺💜
Thank you, subscribing right away after seeing the quality of this video. Looking forward to learning so much more with all your videos, amazing teacher
I am really glad I found this channel....been really useful and helpful
Your videos are so insightful. Thank you so much
thank you for explaining this
thank you soo much!! May you be blessed with everything you wish for!!!
Thanks, you too!
Really Appreciate these tricks! Thank you so much! I will also update how my GRE exam goes. Thanks again for this amazing work you do!😀💫
Thank you again Philip, for this edifying video!
Thanks so much Shruti
Thank you Phillip
THANK YOU!!
Oh! One of the confusing topic made easy. Thank you. Great videos, great concent, great work
So glad it was helpful Divya!
This is brilliant
Incredible, Philip...
Thanks Rasheed!
Just as u made distinction b/w FACTORS and PRIME FACTORS, it is also essential to highlight the negative factors. -1,-2,-3,-4,-6,-12 are also factors of 12
very insightful! i really like your content. please keep making videos like these. thanks and cheers!
Thanks, will do Mayank!
Thanks a lot!
Can you please also explain how to find out the even and odd factors in the example you shown at 10:19?
keep it up dude!!I love your videos and has helped me a lot!!
THANK YOU PHILIP❤
Heard a lot about you. Def gonna start visiting this site when I prepare for the GRE
Look forward to it!
wow! your are actually genius...........
you are a life saver!!
Thanks so much Ella
You are a G bro! THANKS you just boosted my score
Fabulous content!
Immensely valuable tricks and tips.
Many thanks! keep up the good work.
My pleasure!
Pure gold
amazing content!! Really look upto your videos Philip..:)
I appreciate that!
A great tutor
You are great
Super helpful video!!
These strategies are really during practice tests!
May god bless u and make your life heavenly for saving us poor students who cannot afford a good math tutor (sobbing)
Very well explained and very informative! Thanks a lot for posting these videos! I found a very similar question in the OG GMAT book, and I was totally lost. The explanation in the book was at least 30 lines long and it was so complex to follow. Nobody would have time to do such process during the exam. Your method is 5 times simpler! :D
Thank you Antonio!
You are simply excellent 🤠
Thanks man still workin on that 305+ and this helps!
thank you so so much i am grateful for your videos
That was indeed a boss Level question, i thought i could do it but i got it wrong..so not boss level yet but i am working on it :)
What a great start to the day! Thanks for sharing these shortcuts... U couldn't have put up this video at a better time. . please upload a few more videos in the next few days! 👌
Thanks Mansi. I will try!
@@TheTestedTutor my exam is almost here so just wish to get some revision done!
I'm not surprised that you had 340 #Genius
Great
Keep guiding us
To solve this problem, we'll use the concept of prime factorization. Let's start by finding the prime factorization of the numbers 8 and 15, since the integer in question is divisible by both.
Prime Factorization of 8:
8
=
2
×
2
×
2
8=2×2×2
(8 is a power of 2, specifically
2
3
2
3
)
Prime Factorization of 15:
15
=
3
×
5
15=3×5
(15 is the product of the primes 3 and 5)
An integer that is divisible by both 8 and 15 must have at least the prime factors of both 8 and 15 in its factorization. This means the integer must have at least three 2's (from 8) and one 3 and one 5 (from 15). Therefore, its prime factorization must include
2
×
2
×
2
×
3
×
5
2×2×2×3×5.
Now, let's analyze the options:
a) 16:
16
=
2
×
2
×
2
×
2
16=2×2×2×2
(16 is
2
4
2
4
; it does not contain the factors 3 and 5)
b) 24:
24
=
2
×
2
×
2
×
3
24=2×2×2×3
(24 contains three 2's and one 3, but lacks the factor 5)
c) 32:
32
=
2
×
2
×
2
×
2
×
2
32=2×2×2×2×2
(32 is
2
5
2
5
; it does not contain the factors 3 and 5)
d) 36:
36
=
2
×
2
×
3
×
3
36=2×2×3×3
(36 contains two 2's and two 3's, but lacks the factor 5)
Given this analysis, we see that none of the options a), b), c), or d) have the complete set of prime factors (three 2's, one 3, and one 5) that an integer divisible by both 8 and 15 must have. Therefore, the integer in question is not necessarily divisible by any of the options provided.
Thank you!
Thank you so much for these
Youre amazing mashahAllah 🎉
How do we know when we need to use prime factorization? Are there indicators within the questions that we should take hints from?
Loved it
Grt content. Thnx
Love your videos super helpful! I was wondering if you could make a video on LCM and GCF that's one of the topics I'm still struggling with. Regardless, thank you so much for all the videos!!!
Will get to that soon Stacy, thanks for the comment/request
hats off
Would it be possible to break up 24 into something else such as 12 and 2 and then further break that down or does it need to be 8 and 3 to work? thank you
Brilliant.
thank you sooo much 😊😊😊😊
Does GMAT asks to calculate even/odd factors for a number?
Amazing
Thanks