Find the total number of factors of 8600 ?

Sure, to find the total number of factors of 8600, we need to follow these steps:

1. Prime factorize the number: The prime factorization of 8600 is 2^4 * 5^3 * 43^1.

2. Add 1 to each of the exponents in the prime factorization: 4+1 = 5, 3+1 = 4, 1+1 = 2.

3. Multiply the numbers obtained in step 2: 5 * 4 * 2 = 40.

So, the total number of factors of 8600 is 40.

To find the total number of factors of 8600, we first need to express 8600 as a product of its prime factors.

8600 = 2^4 * 5^3 * 43^1

The total 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 total number of factors of 8600 is (4+1) * (3+1) * (1+1) = 5 * 4 * 2 = 40.

Therefore, 8600 has 40 factors.