Q: What is the total or count of factors of the number 182,452?

 A: 6

How do I find the total factors of the number 182,452?

Step 1

Find the prime factorization of the number 182,452.

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

Factor Tree
182,452
Factor Arrows
291,226
Factor Arrows
245,613

The prime factorization in exponential form is: 22 x 45,6131

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.

182,452 = 22 x 45,6131
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(182452) = (2 + 1)(1 + 1)
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d(182452) = (3)(2)
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d(182452) = 6

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Take a look at the factors page to see the factors of 182,452 and how to find them.

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