Q: What is the total or count of factors of the number 111,033,018?

 A: 96

How do I find the total factors of the number 111,033,018?

Step 1

Find the prime factorization of the number 111,033,018.

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

Factor Tree
111,033,018
Factor Arrows
255,516,509
Factor Arrows
318,505,503
Factor Arrows
36,168,501
Factor Arrows
32,056,167
Factor Arrows
3685,389
Factor Arrows
3228,463
Factor Arrows
1713,439
Factor Arrows
89151

The prime factorization in exponential form is: 21 x 35 x 171 x 891 x 1511

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)

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.

111,033,018 = 21 x 35 x 171 x 891 x 1511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(111033018) = (1 + 1)(5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(111033018) = (2)(6)(2)(2)(2)
Down Arrow
d(111033018) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 111,033,018 and how to find them.

Try the factor calculator.

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