Q: What is the total or count of factors of the number 819,945?

 A: 48

How do I find the total factors of the number 819,945?

Step 1

Find the prime factorization of the number 819,945.

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

Factor Tree
819,945
Factor Arrows
3273,315
Factor Arrows
391,105
Factor Arrows
518,221
Factor Arrows
72,603
Factor Arrows
19137

The prime factorization in exponential form is: 32 x 51 x 71 x 191 x 1371

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.

819,945 = 32 x 51 x 71 x 191 x 1371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(819945) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(819945) = (3)(2)(2)(2)(2)
Down Arrow
d(819945) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 819,945 and how to find them.

Try the factor calculator.

Explore more about the number 819,945:


Ask a Question