Q: What is the total or count of factors of the number 588,892?

 A: 24

How do I find the total factors of the number 588,892?

Step 1

Find the prime factorization of the number 588,892.

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

Factor Tree
588,892
Factor Arrows
2294,446
Factor Arrows
2147,223
Factor Arrows
236,401
Factor Arrows
37173

The prime factorization in exponential form is: 22 x 231 x 371 x 1731

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.

588,892 = 22 x 231 x 371 x 1731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(588892) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(588892) = (3)(2)(2)(2)
Down Arrow
d(588892) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 588,892 and how to find them.

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