Q: What is the total or count of factors of the number 666,628?

 A: 6

How do I find the total factors of the number 666,628?

Step 1

Find the prime factorization of the number 666,628.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
666,628
Factor Arrows
2333,314
Factor Arrows
2166,657

The prime factorization in exponential form is: 22 x 166,6571

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

666,628 = 22 x 166,6571
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(666628) = (2 + 1)(1 + 1)
Down Arrow
d(666628) = (3)(2)
Down Arrow
d(666628) = 6

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Take a look at the factors page to see the factors of 666,628 and how to find them.

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