For how many positive integer values of x is 65/x an integer?

Question

For how many positive integer values of x is  \frac{65}{x}  an integer?

A. 2
B. 3
C. 4
D. 5
E. 6

Chethan92 · Answer

1,5,13,65. 4 values.

C is the answer

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Archit3110 · Answer

65= 5^1 * 13^1 
factors would be (1+1)* (1+1)= 2*2 = 4 IMO C

KSBGC · Answer

To know the number of factors, we must factorize 65.

65 = 5^1*13^1

Total number of factors : (1 + 1 ) ( 1+ 1) = 4.

C is the correct answer .

irisielee · Answer

I like any questions about finding total number of factors for an integer by using something I learnt from probability.
To find total number of factors for an integer n, we need to factorize the number to product of primes.
Let's use 65 as an example here.
65 = 5 * 13
5 can also be written as: 5^1
13 can also be written as 13^1
Now, how many times you can choose 5? It's can be 5^0 or 5^1
There are two options to pick number 13, 13^0 or 13^1
Since these two events are indepent to each other => total ways to pick the number = 2*2 = 4 => total factors of 65.

laddaboy · Answer

Basically the prompt is asking us what are the factors of 65. 
Rule : For any number 1 and itself are always a factor.

So 1,65,5,13

LeoN88 · Answer

Square Root of 65 is approximately 8, so we just have to check numbers/factors less than 8 and more than zero.

1*65
5*13

Suyash750 · Answer

Prime factorise 65. It will be 5^1 and 13^1. take factors (1+1), (1+1) = 4 ans

For how many positive integer values of x is 65/x an integer?

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For how many positive integer values of x is 65/x an integer?

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