Q: What is the total or count of factors of the number 537,339?

 A: 16

How do I find the total factors of the number 537,339?

Step 1

Find the prime factorization of the number 537,339.

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

Factor Tree
537,339
Factor Arrows
3179,113
Factor Arrows
1116,283
Factor Arrows
19857

The prime factorization in exponential form is: 31 x 111 x 191 x 8571

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.

537,339 = 31 x 111 x 191 x 8571
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(537339) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(537339) = (2)(2)(2)(2)
Down Arrow
d(537339) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 537,339 and how to find them.

Try the factor calculator.

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