Q: What is the total or count of factors of the number 480,121,630?

 A: 16

How do I find the total factors of the number 480,121,630?

Step 1

Find the prime factorization of the number 480,121,630.

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

Factor Tree
480,121,630
Factor Arrows
2240,060,815
Factor Arrows
548,012,163
Factor Arrows
67770,919

The prime factorization in exponential form is: 21 x 51 x 6771 x 70,9191

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.

480,121,630 = 21 x 51 x 6771 x 70,9191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(480121630) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(480121630) = (2)(2)(2)(2)
Down Arrow
d(480121630) = 16

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Take a look at the factors page to see the factors of 480,121,630 and how to find them.

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