Question

How to determine the number of factors a number has?

Answer 1

1. Take a number.

2. calculate the prime factorization of a number.

3.Take all the exponents and add one to each of them.

4. Multiply the modified exponents together.


Ex: 1. Let the number be 36

      2. prime factorization of 36
 
              = 2 * (2 * 9)

             = 2^2 * 3^2

    3. Adding 1 to exponents we get, (2+1) * (2+1) = 3 * 3 = 9.

There are 9 factors for the number.

The factors of 36 are 1,2,3,4,6,9,12,18,36.

Hope this helps!