Q: What is the total or count of factors of the number 14,241,280?

 A: 40

How do I find the total factors of the number 14,241,280?

Step 1

Find the prime factorization of the number 14,241,280.

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

Factor Tree
14,241,280
Factor Arrows
27,120,640
Factor Arrows
23,560,320
Factor Arrows
21,780,160
Factor Arrows
2890,080
Factor Arrows
2445,040
Factor Arrows
2222,520
Factor Arrows
2111,260
Factor Arrows
255,630
Factor Arrows
227,815
Factor Arrows
55,563

The prime factorization in exponential form is: 29 x 51 x 5,5631

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.

14,241,280 = 29 x 51 x 5,5631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(14241280) = (9 + 1)(1 + 1)(1 + 1)
Down Arrow
d(14241280) = (10)(2)(2)
Down Arrow
d(14241280) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 14,241,280 and how to find them.

Try the factor calculator.

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