Q: What is the total or count of factors of the number 727,280?

 A: 20

How do I find the total factors of the number 727,280?

Step 1

Find the prime factorization of the number 727,280.

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

Factor Tree
727,280
Factor Arrows
2363,640
Factor Arrows
2181,820
Factor Arrows
290,910
Factor Arrows
245,455
Factor Arrows
59,091

The prime factorization in exponential form is: 24 x 51 x 9,0911

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.

727,280 = 24 x 51 x 9,0911
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d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(727280) = (4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(727280) = (5)(2)(2)
Down Arrow
d(727280) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 727,280 and how to find them.

Try the factor calculator.

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