Q: What is the total or count of factors of the number 638,647,455?

 A: 16

How do I find the total factors of the number 638,647,455?

Step 1

Find the prime factorization of the number 638,647,455.

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

Factor Tree
638,647,455
Factor Arrows
3212,882,485
Factor Arrows
542,576,497
Factor Arrows
79538,943

The prime factorization in exponential form is: 31 x 51 x 791 x 538,9431

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 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.

638,647,455 = 31 x 51 x 791 x 538,9431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(638647455) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(638647455) = (2)(2)(2)(2)
Down Arrow
d(638647455) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 638,647,455 and how to find them.

Try the factor calculator.

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