Q: What is the total or count of factors of the number 296,884?

 A: 24

How do I find the total factors of the number 296,884?

Step 1

Find the prime factorization of the number 296,884.

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

Factor Tree
296,884
Factor Arrows
2148,442
Factor Arrows
274,221
Factor Arrows
710,603
Factor Arrows
23461

The prime factorization in exponential form is: 22 x 71 x 231 x 4611

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.

296,884 = 22 x 71 x 231 x 4611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(296884) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(296884) = (3)(2)(2)(2)
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d(296884) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 296,884 and how to find them.

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