Q: What is the total or count of factors of the number 13,674,813?

 A: 32

How do I find the total factors of the number 13,674,813?

Step 1

Find the prime factorization of the number 13,674,813.

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

Factor Tree
13,674,813
Factor Arrows
34,558,271
Factor Arrows
19239,909
Factor Arrows
317,739
Factor Arrows
71109

The prime factorization in exponential form is: 31 x 191 x 311 x 711 x 1091

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.

13,674,813 = 31 x 191 x 311 x 711 x 1091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(13674813) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13674813) = (2)(2)(2)(2)(2)
Down Arrow
d(13674813) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 13,674,813 and how to find them.

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