Q: What is the total or count of factors of the number 502,520?

 A: 32

How do I find the total factors of the number 502,520?

Step 1

Find the prime factorization of the number 502,520.

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

Factor Tree
502,520
Factor Arrows
2251,260
Factor Arrows
2125,630
Factor Arrows
262,815
Factor Arrows
512,563
Factor Arrows
17739

The prime factorization in exponential form is: 23 x 51 x 171 x 7391

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.

502,520 = 23 x 51 x 171 x 7391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(502520) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(502520) = (4)(2)(2)(2)
Down Arrow
d(502520) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 502,520 and how to find them.

Try the factor calculator.

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