Q: What is the total or count of factors of the number 640,048?

 A: 20

How do I find the total factors of the number 640,048?

Step 1

Find the prime factorization of the number 640,048.

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

Factor Tree
640,048
Factor Arrows
2320,024
Factor Arrows
2160,012
Factor Arrows
280,006
Factor Arrows
240,003
Factor Arrows
109367

The prime factorization in exponential form is: 24 x 1091 x 3671

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.

640,048 = 24 x 1091 x 3671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(640048) = (4 + 1)(1 + 1)(1 + 1)
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d(640048) = (5)(2)(2)
Down Arrow
d(640048) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 640,048 and how to find them.

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