Q: What is the total or count of factors of the number 21,224,008?

 A: 32

How do I find the total factors of the number 21,224,008?

Step 1

Find the prime factorization of the number 21,224,008.

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

Factor Tree
21,224,008
Factor Arrows
210,612,004
Factor Arrows
25,306,002
Factor Arrows
22,653,001
Factor Arrows
13204,077
Factor Arrows
892,293

The prime factorization in exponential form is: 23 x 131 x 891 x 2,2931

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.

21,224,008 = 23 x 131 x 891 x 2,2931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(21224008) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(21224008) = (4)(2)(2)(2)
Down Arrow
d(21224008) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 21,224,008 and how to find them.

Try the factor calculator.

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