Q: What is the total or count of factors of the number 560,832,208?

 A: 20

How do I find the total factors of the number 560,832,208?

Step 1

Find the prime factorization of the number 560,832,208.

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

Factor Tree
560,832,208
Factor Arrows
2280,416,104
Factor Arrows
2140,208,052
Factor Arrows
270,104,026
Factor Arrows
235,052,013
Factor Arrows
197177,929

The prime factorization in exponential form is: 24 x 1971 x 177,9291

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.

560,832,208 = 24 x 1971 x 177,9291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(560832208) = (4 + 1)(1 + 1)(1 + 1)
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d(560832208) = (5)(2)(2)
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d(560832208) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 560,832,208 and how to find them.

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