Q: What is the total or count of factors of the number 78,387,800?

 A: 24

How do I find the total factors of the number 78,387,800?

Step 1

Find the prime factorization of the number 78,387,800.

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

Factor Tree
78,387,800
Factor Arrows
239,193,900
Factor Arrows
219,596,950
Factor Arrows
29,798,475
Factor Arrows
51,959,695
Factor Arrows
5391,939

The prime factorization in exponential form is: 23 x 52 x 391,9391

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

78,387,800 = 23 x 52 x 391,9391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(78387800) = (3 + 1)(2 + 1)(1 + 1)
Down Arrow
d(78387800) = (4)(3)(2)
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d(78387800) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 78,387,800 and how to find them.

Try the factor calculator.

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