Q: What is the total or count of factors of the number 866,220?

 A: 24

How do I find the total factors of the number 866,220?

Step 1

Find the prime factorization of the number 866,220.

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

Factor Tree
866,220
Factor Arrows
2433,110
Factor Arrows
2216,555
Factor Arrows
372,185
Factor Arrows
514,437

The prime factorization in exponential form is: 22 x 31 x 51 x 14,4371

Step 2

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

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

866,220 = 22 x 31 x 51 x 14,4371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(866220) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(866220) = (3)(2)(2)(2)
Down Arrow
d(866220) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 866,220 and how to find them.

Try the factor calculator.

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