Q: What is the total or count of factors of the number 17,472,532?

 A: 96

How do I find the total factors of the number 17,472,532?

Step 1

Find the prime factorization of the number 17,472,532.

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

Factor Tree
17,472,532
Factor Arrows
28,736,266
Factor Arrows
24,368,133
Factor Arrows
7624,019
Factor Arrows
1156,729
Factor Arrows
173,337
Factor Arrows
4771

The prime factorization in exponential form is: 22 x 71 x 111 x 171 x 471 x 711

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.

17,472,532 = 22 x 71 x 111 x 171 x 471 x 711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(17472532) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(17472532) = (3)(2)(2)(2)(2)(2)
Down Arrow
d(17472532) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 17,472,532 and how to find them.

Try the factor calculator.

Explore more about the number 17,472,532:


Ask a Question