Q: What is the total or count of factors of the number 337,116,400?

 A: 30

How do I find the total factors of the number 337,116,400?

Step 1

Find the prime factorization of the number 337,116,400.

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

Factor Tree
337,116,400
Factor Arrows
2168,558,200
Factor Arrows
284,279,100
Factor Arrows
242,139,550
Factor Arrows
221,069,775
Factor Arrows
54,213,955
Factor Arrows
5842,791

The prime factorization in exponential form is: 24 x 52 x 842,7911

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.

337,116,400 = 24 x 52 x 842,7911
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d(n) = (a + 1)(b + 1)(c + 1)
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d(337116400) = (4 + 1)(2 + 1)(1 + 1)
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d(337116400) = (5)(3)(2)
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d(337116400) = 30

More numbers for you to try

Take a look at the factors page to see the factors of 337,116,400 and how to find them.

Try the factor calculator.

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