Q: What is the total or count of factors of the number 22,233,996?

 A: 36

How do I find the total factors of the number 22,233,996?

Step 1

Find the prime factorization of the number 22,233,996.

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

Factor Tree
22,233,996
Factor Arrows
211,116,998
Factor Arrows
25,558,499
Factor Arrows
31,852,833
Factor Arrows
3617,611
Factor Arrows
5631,097

The prime factorization in exponential form is: 22 x 32 x 5631 x 1,0971

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.

22,233,996 = 22 x 32 x 5631 x 1,0971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(22233996) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(22233996) = (3)(3)(2)(2)
Down Arrow
d(22233996) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 22,233,996 and how to find them.

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