Q: What is the total or count of factors of the number 638,647,456?

 A: 48

How do I find the total factors of the number 638,647,456?

Step 1

Find the prime factorization of the number 638,647,456.

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

Factor Tree
638,647,456
Factor Arrows
2319,323,728
Factor Arrows
2159,661,864
Factor Arrows
279,830,932
Factor Arrows
239,915,466
Factor Arrows
219,957,733
Factor Arrows
191,050,407
Factor Arrows
5319,819

The prime factorization in exponential form is: 25 x 191 x 531 x 19,8191

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.

638,647,456 = 25 x 191 x 531 x 19,8191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(638647456) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(638647456) = (6)(2)(2)(2)
Down Arrow
d(638647456) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 638,647,456 and how to find them.

Try the factor calculator.

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