Q: What is the total or count of factors of the number 984,861?

 A: 24

How do I find the total factors of the number 984,861?

Step 1

Find the prime factorization of the number 984,861.

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

Factor Tree
984,861
Factor Arrows
3328,287
Factor Arrows
3109,429
Factor Arrows
176,437
Factor Arrows
41157

The prime factorization in exponential form is: 32 x 171 x 411 x 1571

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.

984,861 = 32 x 171 x 411 x 1571
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(984861) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(984861) = (3)(2)(2)(2)
Down Arrow
d(984861) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 984,861 and how to find them.

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