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26 Jun 2017, 03:35
Kudos
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Hi All,
I started preparing for GMAT. I have a query in quant.
For 7200 number, I solved for below questions
1. Number of factors = 2^5.3^2.5^2 = 54
2. Number of odd factors = 3.3 = 9
3. Number of even factors = 54-9 = 45
4. Number of perfect squares = 12
Now I want to find out number of factors which are multiples of 120 for 7200 number ? Can somebody help me in solving this ?
I started preparing for GMAT. I have a query in quant.
For 7200 number, I solved for below questions
1. Number of factors = 2^5.3^2.5^2 = 54
2. Number of odd factors = 3.3 = 9
3. Number of even factors = 54-9 = 45
4. Number of perfect squares = 12
Now I want to find out number of factors which are multiples of 120 for 7200 number ? Can somebody help me in solving this ?
26 Jun 2017, 03:46
Kudos
Bookmarks
Hi Nikhil54321 ,
In order to find the number of factors which are multiple of 120 for 7200, you can follow the below approach:
120 = 2^3 * 3 * 5
7200 = 2^5 * 3^2 * 5^2
In order to find multiples of 120, just take 2^3, 3 and 5 out of the powers of 7200.
So, I can say number of factors of 7200 which are multiples of 120 are 2^2 * 3^1 * 5^1
= 3 * 2 * 2 = 12.
Let me know in case of any concern.
In order to find the number of factors which are multiple of 120 for 7200, you can follow the below approach:
120 = 2^3 * 3 * 5
7200 = 2^5 * 3^2 * 5^2
In order to find multiples of 120, just take 2^3, 3 and 5 out of the powers of 7200.
So, I can say number of factors of 7200 which are multiples of 120 are 2^2 * 3^1 * 5^1
= 3 * 2 * 2 = 12.
Let me know in case of any concern.
26 Jun 2017, 04:12
Kudos
Bookmarks
Hi Abhi,
Thanks for your reply !!!
I didn't understand these two points
In order to find multiples of 120, just take 2^3, 3 and 5 out of the powers of 7200.
[/b]So, I can say number of factors of 7200 which are multiples of 120 are 2^2 * 3^1 * 5^1
Hilighted part I didn't understand. Can you please elaborate ?
Thanks for your reply !!!
I didn't understand these two points
In order to find multiples of 120, just take 2^3, 3 and 5 out of the powers of 7200.
[/b]So, I can say number of factors of 7200 which are multiples of 120 are 2^2 * 3^1 * 5^1
Hilighted part I didn't understand. Can you please elaborate ?
