Question

find the total number of factors of numbers N=12^2*13^2*14?​

Answer 1

Given:

12^2*13^2*14

To find:

The number of factors of the expression.

Solution:

1) To find the number of the factors we have to find the prime factorization of the given number.

2)Prime factorization

12^2*13^2*14= 12×12×13×13×14

                    = 2×2×3×2×2×3×13×13×2×7

                    = 2⁵×3²×7¹×13²

no of the factors=(5+1)(2+1)(1+1)(2+1)

                          = 6×3×2×3 = 108

The total number of factors of numbers N=12^2*13^2*14 is 108

Answer 2

Answer:

108

Step-by-step explanation:

total number of factors is equal to 108