Q: What is the total or count of factors of the number 11,227,280?

 A: 40

How do I find the total factors of the number 11,227,280?

Step 1

Find the prime factorization of the number 11,227,280.

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

Factor Tree
11,227,280
Factor Arrows
25,613,640
Factor Arrows
22,806,820
Factor Arrows
21,403,410
Factor Arrows
2701,705
Factor Arrows
5140,341
Factor Arrows
373,793

The prime factorization in exponential form is: 24 x 51 x 371 x 3,7931

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.

11,227,280 = 24 x 51 x 371 x 3,7931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(11227280) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(11227280) = (5)(2)(2)(2)
Down Arrow
d(11227280) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 11,227,280 and how to find them.

Try the factor calculator.

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