Q: What is the total or count of factors of the number 974,488?

 A: 16

How do I find the total factors of the number 974,488?

Step 1

Find the prime factorization of the number 974,488.

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

Factor Tree
974,488
Factor Arrows
2487,244
Factor Arrows
2243,622
Factor Arrows
2121,811
Factor Arrows
412,971

The prime factorization in exponential form is: 23 x 411 x 2,9711

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.

974,488 = 23 x 411 x 2,9711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(974488) = (3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(974488) = (4)(2)(2)
Down Arrow
d(974488) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 974,488 and how to find them.

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