Q: What is the total or count of factors of the number 22,330,980?

 A: 144

How do I find the total factors of the number 22,330,980?

Step 1

Find the prime factorization of the number 22,330,980.

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

Factor Tree
22,330,980
Factor Arrows
211,165,490
Factor Arrows
25,582,745
Factor Arrows
31,860,915
Factor Arrows
3620,305
Factor Arrows
5124,061
Factor Arrows
717,723
Factor Arrows
37479

The prime factorization in exponential form is: 22 x 32 x 51 x 71 x 371 x 4791

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)(e + 1)(f + 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.

22,330,980 = 22 x 32 x 51 x 71 x 371 x 4791
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(22330980) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(22330980) = (3)(3)(2)(2)(2)(2)
Down Arrow
d(22330980) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 22,330,980 and how to find them.

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