Q: What is the total or count of factors of the number 550,116?

 A: 72

How do I find the total factors of the number 550,116?

Step 1

Find the prime factorization of the number 550,116.

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

Factor Tree
550,116
Factor Arrows
2275,058
Factor Arrows
2137,529
Factor Arrows
345,843
Factor Arrows
315,281
Factor Arrows
72,183
Factor Arrows
3759

The prime factorization in exponential form is: 22 x 32 x 71 x 371 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)(e + 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.

550,116 = 22 x 32 x 71 x 371 x 591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(550116) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(550116) = (3)(3)(2)(2)(2)
Down Arrow
d(550116) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 550,116 and how to find them.

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