Q: What is the total or count of factors of the number 872,480?

 A: 96

How do I find the total factors of the number 872,480?

Step 1

Find the prime factorization of the number 872,480.

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

Factor Tree
872,480
Factor Arrows
2436,240
Factor Arrows
2218,120
Factor Arrows
2109,060
Factor Arrows
254,530
Factor Arrows
227,265
Factor Arrows
55,453
Factor Arrows
7779
Factor Arrows
1941

The prime factorization in exponential form is: 25 x 51 x 71 x 191 x 411

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)(e + 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.

872,480 = 25 x 51 x 71 x 191 x 411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(872480) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(872480) = (6)(2)(2)(2)(2)
Down Arrow
d(872480) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 872,480 and how to find them.

Try the factor calculator.

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