Q: What is the total or count of factors of the number 785,106?

 A: 64

How do I find the total factors of the number 785,106?

Step 1

Find the prime factorization of the number 785,106.

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

Factor Tree
785,106
Factor Arrows
2392,553
Factor Arrows
3130,851
Factor Arrows
343,617
Factor Arrows
314,539
Factor Arrows
72,077
Factor Arrows
3167

The prime factorization in exponential form is: 21 x 33 x 71 x 311 x 671

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.

785,106 = 21 x 33 x 71 x 311 x 671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(785106) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(785106) = (2)(4)(2)(2)(2)
Down Arrow
d(785106) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 785,106 and how to find them.

Try the factor calculator.

Explore more about the number 785,106:


Ask a Question