Q: What is the total or count of factors of the number 114,324,144?

 A: 40

How do I find the total factors of the number 114,324,144?

Step 1

Find the prime factorization of the number 114,324,144.

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

Factor Tree
114,324,144
Factor Arrows
257,162,072
Factor Arrows
228,581,036
Factor Arrows
214,290,518
Factor Arrows
27,145,259
Factor Arrows
32,381,753
Factor Arrows
11216,523

The prime factorization in exponential form is: 24 x 31 x 111 x 216,5231

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.

114,324,144 = 24 x 31 x 111 x 216,5231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(114324144) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(114324144) = (5)(2)(2)(2)
Down Arrow
d(114324144) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 114,324,144 and how to find them.

Try the factor calculator.

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