Q: What is the total or count of factors of the number 320,960?

 A: 56

How do I find the total factors of the number 320,960?

Step 1

Find the prime factorization of the number 320,960.

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

Factor Tree
320,960
Factor Arrows
2160,480
Factor Arrows
280,240
Factor Arrows
240,120
Factor Arrows
220,060
Factor Arrows
210,030
Factor Arrows
25,015
Factor Arrows
51,003
Factor Arrows
1759

The prime factorization in exponential form is: 26 x 51 x 171 x 591

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.

320,960 = 26 x 51 x 171 x 591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(320960) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(320960) = (7)(2)(2)(2)
Down Arrow
d(320960) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 320,960 and how to find them.

Try the factor calculator.

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