Q: What is the total or count of factors of the number 668,644?

 A: 12

How do I find the total factors of the number 668,644?

Step 1

Find the prime factorization of the number 668,644.

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

Factor Tree
668,644
Factor Arrows
2334,322
Factor Arrows
2167,161
Factor Arrows
179,833

The prime factorization in exponential form is: 22 x 171 x 9,8331

Step 2

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

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

668,644 = 22 x 171 x 9,8331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(668644) = (2 + 1)(1 + 1)(1 + 1)
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d(668644) = (3)(2)(2)
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d(668644) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 668,644 and how to find them.

Try the factor calculator.

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