Q: What is the total or count of factors of the number 28,186,752?

 A: 64

How do I find the total factors of the number 28,186,752?

Step 1

Find the prime factorization of the number 28,186,752.

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

Factor Tree
28,186,752
Factor Arrows
214,093,376
Factor Arrows
27,046,688
Factor Arrows
23,523,344
Factor Arrows
21,761,672
Factor Arrows
2880,836
Factor Arrows
2440,418
Factor Arrows
2220,209
Factor Arrows
373,403
Factor Arrows
116,673

The prime factorization in exponential form is: 27 x 31 x 111 x 6,6731

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.

28,186,752 = 27 x 31 x 111 x 6,6731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(28186752) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(28186752) = (8)(2)(2)(2)
Down Arrow
d(28186752) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 28,186,752 and how to find them.

Try the factor calculator.

Explore more about the number 28,186,752:


Ask a Question