Question

100 k sam bhajako ki sankhya

Answer 1

Answer: The number of even factors of 100 is 6

Step-by-step explanation:

First factorize 100 in the form of prime number as follow:

100= 2^2 x 5^2

The formula for finding the total number of prime factors is product of all the powers of  factors after adding one to each of them.

So,

The total number of  factors of 100= (2+1)(2+1)=9

Now, the formula for finding the total number of odd factors is product of powers of only odd prime factors after adding one to each of them.

So,

The number of odd  factors= 2+1=3

The number of even factors= total number of factors - odd factors.

So,

The number of even factors= 9-3=6