Q: What is the total or count of factors of the number 310,412?

 A: 12

How do I find the total factors of the number 310,412?

Step 1

Find the prime factorization of the number 310,412.

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

Factor Tree
310,412
Factor Arrows
2155,206
Factor Arrows
277,603
Factor Arrows
711,093

The prime factorization in exponential form is: 22 x 711 x 1,0931

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.

310,412 = 22 x 711 x 1,0931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(310412) = (2 + 1)(1 + 1)(1 + 1)
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d(310412) = (3)(2)(2)
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d(310412) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 310,412 and how to find them.

Try the factor calculator.

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