Q: What is the total or count of factors of the number 528,021?

 A: 12

How do I find the total factors of the number 528,021?

Step 1

Find the prime factorization of the number 528,021.

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

Factor Tree
528,021
Factor Arrows
3176,007
Factor Arrows
358,669
Factor Arrows
134,513

The prime factorization in exponential form is: 32 x 131 x 4,5131

Step 2

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

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

528,021 = 32 x 131 x 4,5131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
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d(528021) = (2 + 1)(1 + 1)(1 + 1)
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d(528021) = (3)(2)(2)
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d(528021) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 528,021 and how to find them.

Try the factor calculator.

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