Q: What is the total or count of factors of the number 10,323,060?

 A: 48

How do I find the total factors of the number 10,323,060?

Step 1

Find the prime factorization of the number 10,323,060.

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

Factor Tree
10,323,060
Factor Arrows
25,161,530
Factor Arrows
22,580,765
Factor Arrows
3860,255
Factor Arrows
5172,051
Factor Arrows
1115,641

The prime factorization in exponential form is: 22 x 31 x 51 x 111 x 15,6411

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.

10,323,060 = 22 x 31 x 51 x 111 x 15,6411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(10323060) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(10323060) = (3)(2)(2)(2)(2)
Down Arrow
d(10323060) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 10,323,060 and how to find them.

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