Q: What is the total or count of factors of the number 15,313,232?

 A: 40

How do I find the total factors of the number 15,313,232?

Step 1

Find the prime factorization of the number 15,313,232.

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

Factor Tree
15,313,232
Factor Arrows
27,656,616
Factor Arrows
23,828,308
Factor Arrows
21,914,154
Factor Arrows
2957,077
Factor Arrows
1187,007
Factor Arrows
167521

The prime factorization in exponential form is: 24 x 111 x 1671 x 5211

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.

15,313,232 = 24 x 111 x 1671 x 5211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(15313232) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(15313232) = (5)(2)(2)(2)
Down Arrow
d(15313232) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 15,313,232 and how to find them.

Try the factor calculator.

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