Q: What is the total or count of factors of the number 337,024?

 A: 16

How do I find the total factors of the number 337,024?

Step 1

Find the prime factorization of the number 337,024.

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

Factor Tree
337,024
Factor Arrows
2168,512
Factor Arrows
284,256
Factor Arrows
242,128
Factor Arrows
221,064
Factor Arrows
210,532
Factor Arrows
25,266
Factor Arrows
22,633

The prime factorization in exponential form is: 27 x 2,6331

Step 2

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

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

337,024 = 27 x 2,6331
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(337024) = (7 + 1)(1 + 1)
Down Arrow
d(337024) = (8)(2)
Down Arrow
d(337024) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 337,024 and how to find them.

Try the factor calculator.

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