Q: What is the total or count of factors of the number 261,320?

 A: 32

How do I find the total factors of the number 261,320?

Step 1

Find the prime factorization of the number 261,320.

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

Factor Tree
261,320
Factor Arrows
2130,660
Factor Arrows
265,330
Factor Arrows
232,665
Factor Arrows
56,533
Factor Arrows
47139

The prime factorization in exponential form is: 23 x 51 x 471 x 1391

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.

261,320 = 23 x 51 x 471 x 1391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(261320) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(261320) = (4)(2)(2)(2)
Down Arrow
d(261320) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 261,320 and how to find them.

Try the factor calculator.

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