Q: What is the total or count of factors of the number 773,960?

 A: 32

How do I find the total factors of the number 773,960?

Step 1

Find the prime factorization of the number 773,960.

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

Factor Tree
773,960
Factor Arrows
2386,980
Factor Arrows
2193,490
Factor Arrows
296,745
Factor Arrows
519,349
Factor Arrows
111,759

The prime factorization in exponential form is: 23 x 51 x 111 x 1,7591

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.

773,960 = 23 x 51 x 111 x 1,7591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(773960) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(773960) = (4)(2)(2)(2)
Down Arrow
d(773960) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 773,960 and how to find them.

Try the factor calculator.

Explore more about the number 773,960:


Ask a Question