Q: What is the total or count of factors of the number 51,838,480?

 A: 80

How do I find the total factors of the number 51,838,480?

Step 1

Find the prime factorization of the number 51,838,480.

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

Factor Tree
51,838,480
Factor Arrows
225,919,240
Factor Arrows
212,959,620
Factor Arrows
26,479,810
Factor Arrows
23,239,905
Factor Arrows
5647,981
Factor Arrows
3717,513
Factor Arrows
83211

The prime factorization in exponential form is: 24 x 51 x 371 x 831 x 2111

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.

51,838,480 = 24 x 51 x 371 x 831 x 2111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(51838480) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(51838480) = (5)(2)(2)(2)(2)
Down Arrow
d(51838480) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 51,838,480 and how to find them.

Try the factor calculator.

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