Q: What is the total or count of factors of the number 54,374,772?

 A: 36

How do I find the total factors of the number 54,374,772?

Step 1

Find the prime factorization of the number 54,374,772.

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

Factor Tree
54,374,772
Factor Arrows
227,187,386
Factor Arrows
213,593,693
Factor Arrows
34,531,231
Factor Arrows
17266,543
Factor Arrows
1715,679

The prime factorization in exponential form is: 22 x 31 x 172 x 15,6791

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.

54,374,772 = 22 x 31 x 172 x 15,6791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(54374772) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(54374772) = (3)(2)(3)(2)
Down Arrow
d(54374772) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 54,374,772 and how to find them.

Try the factor calculator.

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