Q: What is the total or count of factors of the number 111,423,444?

 A: 24

How do I find the total factors of the number 111,423,444?

Step 1

Find the prime factorization of the number 111,423,444.

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

Factor Tree
111,423,444
Factor Arrows
255,711,722
Factor Arrows
227,855,861
Factor Arrows
39,285,287
Factor Arrows
11844,117

The prime factorization in exponential form is: 22 x 31 x 111 x 844,1171

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.

111,423,444 = 22 x 31 x 111 x 844,1171
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(111423444) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(111423444) = (3)(2)(2)(2)
Down Arrow
d(111423444) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 111,423,444 and how to find them.

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