Q: What is the total or count of factors of the number 987,543,248?

 A: 10

How do I find the total factors of the number 987,543,248?

Step 1

Find the prime factorization of the number 987,543,248.

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

Factor Tree
987,543,248
Factor Arrows
2493,771,624
Factor Arrows
2246,885,812
Factor Arrows
2123,442,906
Factor Arrows
261,721,453

The prime factorization in exponential form is: 24 x 61,721,4531

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.

987,543,248 = 24 x 61,721,4531
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(987543248) = (4 + 1)(1 + 1)
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d(987543248) = (5)(2)
Down Arrow
d(987543248) = 10

More numbers for you to try

Take a look at the factors page to see the factors of 987,543,248 and how to find them.

Try the factor calculator.

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