Q: What is the total or count of factors of the number 51,807,280?

 A: 80

How do I find the total factors of the number 51,807,280?

Step 1

Find the prime factorization of the number 51,807,280.

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

Factor Tree
51,807,280
Factor Arrows
225,903,640
Factor Arrows
212,951,820
Factor Arrows
26,475,910
Factor Arrows
23,237,955
Factor Arrows
5647,591
Factor Arrows
792,513
Factor Arrows
711,303

The prime factorization in exponential form is: 24 x 51 x 71 x 711 x 1,3031

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.

51,807,280 = 24 x 51 x 71 x 711 x 1,3031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(51807280) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(51807280) = (5)(2)(2)(2)(2)
Down Arrow
d(51807280) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 51,807,280 and how to find them.

Try the factor calculator.

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