Q: What is the total or count of factors of the number 915,274?

 A: 8

How do I find the total factors of the number 915,274?

Step 1

Find the prime factorization of the number 915,274.

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

Factor Tree
915,274
Factor Arrows
2457,637
Factor Arrows
736,269

The prime factorization in exponential form is: 21 x 731 x 6,2691

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.

915,274 = 21 x 731 x 6,2691
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(915274) = (1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(915274) = (2)(2)(2)
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d(915274) = 8

More numbers for you to try

Take a look at the factors page to see the factors of 915,274 and how to find them.

Try the factor calculator.

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