Q: What is the total or count of factors of the number 108,485,550?

 A: 36

How do I find the total factors of the number 108,485,550?

Step 1

Find the prime factorization of the number 108,485,550.

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

Factor Tree
108,485,550
Factor Arrows
254,242,775
Factor Arrows
318,080,925
Factor Arrows
36,026,975
Factor Arrows
51,205,395
Factor Arrows
5241,079

The prime factorization in exponential form is: 21 x 32 x 52 x 241,0791

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.

108,485,550 = 21 x 32 x 52 x 241,0791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(108485550) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(108485550) = (2)(3)(3)(2)
Down Arrow
d(108485550) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 108,485,550 and how to find them.

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