Q: What is the total or count of factors of the number 55,240,724?

 A: 72

How do I find the total factors of the number 55,240,724?

Step 1

Find the prime factorization of the number 55,240,724.

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

Factor Tree
55,240,724
Factor Arrows
227,620,362
Factor Arrows
213,810,181
Factor Arrows
71,972,883
Factor Arrows
11179,353
Factor Arrows
434,171
Factor Arrows
4397

The prime factorization in exponential form is: 22 x 71 x 111 x 432 x 971

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.

55,240,724 = 22 x 71 x 111 x 432 x 971
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(55240724) = (2 + 1)(1 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(55240724) = (3)(2)(2)(3)(2)
Down Arrow
d(55240724) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 55,240,724 and how to find them.

Try the factor calculator.

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