Q: What is the total or count of factors of the number 15,724,044?

 A: 72

How do I find the total factors of the number 15,724,044?

Step 1

Find the prime factorization of the number 15,724,044.

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

Factor Tree
15,724,044
Factor Arrows
27,862,022
Factor Arrows
23,931,011
Factor Arrows
31,310,337
Factor Arrows
3436,779
Factor Arrows
3145,593
Factor Arrows
348,531
Factor Arrows
316,177
Factor Arrows
72,311

The prime factorization in exponential form is: 22 x 35 x 71 x 2,3111

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.

15,724,044 = 22 x 35 x 71 x 2,3111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(15724044) = (2 + 1)(5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(15724044) = (3)(6)(2)(2)
Down Arrow
d(15724044) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 15,724,044 and how to find them.

Try the factor calculator.

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