Q: What is the total or count of factors of the number 80,426,880?

 A: 96

How do I find the total factors of the number 80,426,880?

Step 1

Find the prime factorization of the number 80,426,880.

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

Factor Tree
80,426,880
Factor Arrows
240,213,440
Factor Arrows
220,106,720
Factor Arrows
210,053,360
Factor Arrows
25,026,680
Factor Arrows
22,513,340
Factor Arrows
21,256,670
Factor Arrows
2628,335
Factor Arrows
3209,445
Factor Arrows
369,815
Factor Arrows
513,963

The prime factorization in exponential form is: 27 x 32 x 51 x 13,9631

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.

80,426,880 = 27 x 32 x 51 x 13,9631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(80426880) = (7 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(80426880) = (8)(3)(2)(2)
Down Arrow
d(80426880) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 80,426,880 and how to find them.

Try the factor calculator.

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