Q: What is the total or count of factors of the number 277,324?

 A: 24

How do I find the total factors of the number 277,324?

Step 1

Find the prime factorization of the number 277,324.

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

Factor Tree
277,324
Factor Arrows
2138,662
Factor Arrows
269,331
Factor Arrows
193,649
Factor Arrows
4189

The prime factorization in exponential form is: 22 x 191 x 411 x 891

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.

277,324 = 22 x 191 x 411 x 891
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(277324) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(277324) = (3)(2)(2)(2)
Down Arrow
d(277324) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 277,324 and how to find them.

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