Q: What is the total or count of factors of the number 51,176?

 A: 8

How do I find the total factors of the number 51,176?

Step 1

Find the prime factorization of the number 51,176.

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

Factor Tree
51,176
Factor Arrows
225,588
Factor Arrows
212,794
Factor Arrows
26,397

The prime factorization in exponential form is: 23 x 6,3971

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.

51,176 = 23 x 6,3971
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(51176) = (3 + 1)(1 + 1)
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d(51176) = (4)(2)
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d(51176) = 8

More numbers for you to try

Take a look at the factors page to see the factors of 51,176 and how to find them.

Try the factor calculator.

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