Q: What is the total or count of factors of the number 861,664?

 A: 12

How do I find the total factors of the number 861,664?

Step 1

Find the prime factorization of the number 861,664.

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

Factor Tree
861,664
Factor Arrows
2430,832
Factor Arrows
2215,416
Factor Arrows
2107,708
Factor Arrows
253,854
Factor Arrows
226,927

The prime factorization in exponential form is: 25 x 26,9271

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.

861,664 = 25 x 26,9271
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(861664) = (5 + 1)(1 + 1)
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d(861664) = (6)(2)
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d(861664) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 861,664 and how to find them.

Try the factor calculator.

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