Q: What is the total or count of factors of the number 261,936?

 A: 60

How do I find the total factors of the number 261,936?

Step 1

Find the prime factorization of the number 261,936.

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

Factor Tree
261,936
Factor Arrows
2130,968
Factor Arrows
265,484
Factor Arrows
232,742
Factor Arrows
216,371
Factor Arrows
35,457
Factor Arrows
31,819
Factor Arrows
17107

The prime factorization in exponential form is: 24 x 32 x 171 x 1071

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.

261,936 = 24 x 32 x 171 x 1071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(261936) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(261936) = (5)(3)(2)(2)
Down Arrow
d(261936) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 261,936 and how to find them.

Try the factor calculator.

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