Q: What is the total or count of factors of the number 620,960?

 A: 24

How do I find the total factors of the number 620,960?

Step 1

Find the prime factorization of the number 620,960.

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

Factor Tree
620,960
Factor Arrows
2310,480
Factor Arrows
2155,240
Factor Arrows
277,620
Factor Arrows
238,810
Factor Arrows
219,405
Factor Arrows
53,881

The prime factorization in exponential form is: 25 x 51 x 3,8811

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

620,960 = 25 x 51 x 3,8811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(620960) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(620960) = (6)(2)(2)
Down Arrow
d(620960) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 620,960 and how to find them.

Try the factor calculator.

Explore more about the number 620,960:


Ask a Question