Q: What is the total or count of factors of the number 371,166,480?

 A: 120

How do I find the total factors of the number 371,166,480?

Step 1

Find the prime factorization of the number 371,166,480.

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

Factor Tree
371,166,480
Factor Arrows
2185,583,240
Factor Arrows
292,791,620
Factor Arrows
246,395,810
Factor Arrows
223,197,905
Factor Arrows
37,732,635
Factor Arrows
32,577,545
Factor Arrows
5515,509
Factor Arrows
1912,699

The prime factorization in exponential form is: 24 x 32 x 51 x 1911 x 2,6991

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.

371,166,480 = 24 x 32 x 51 x 1911 x 2,6991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(371166480) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(371166480) = (5)(3)(2)(2)(2)
Down Arrow
d(371166480) = 120

More numbers for you to try

Take a look at the factors page to see the factors of 371,166,480 and how to find them.

Try the factor calculator.

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