Find the number of factors of 72Options :9101112

To find the number of factors of 72, we first need to find the prime factorization of 72.

The prime factorization of 72 is 2^3 * 3^2.

The number of factors of a number is determined by adding 1 to the exponent of each prime factor in its prime factorization and then multiplying those results together.

So, for 72, we add 1 to each of the exponents in its prime factorization and get 4 and 3.

Multiplying these together gives us 12.

So, 72 has 12 factors. Therefore, the correct option is 12.

To find the number of factors of 72, we first need to express 72 as a product of its prime factors.

72 = 2^3 * 3^2

The number of factors of a number is determined by adding 1 to the exponent of each prime factor in its prime factorization and then multiplying those results together.

So, the number of factors of 72 is (3+1) * (2+1) = 4 * 3 = 12.

Therefore, the correct option is 12.