Q: What is the total or count of factors of the number 371,421,040?

 A: 40

How do I find the total factors of the number 371,421,040?

Step 1

Find the prime factorization of the number 371,421,040.

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

Factor Tree
371,421,040
Factor Arrows
2185,710,520
Factor Arrows
292,855,260
Factor Arrows
246,427,630
Factor Arrows
223,213,815
Factor Arrows
54,642,763
Factor Arrows
6417,243

The prime factorization in exponential form is: 24 x 51 x 6411 x 7,2431

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.

371,421,040 = 24 x 51 x 6411 x 7,2431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(371421040) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(371421040) = (5)(2)(2)(2)
Down Arrow
d(371421040) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 371,421,040 and how to find them.

Try the factor calculator.

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