Q: What is the total or count of factors of the number 2,751,744?

 A: 36

How do I find the total factors of the number 2,751,744?

Step 1

Find the prime factorization of the number 2,751,744.

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

Factor Tree
2,751,744
Factor Arrows
21,375,872
Factor Arrows
2687,936
Factor Arrows
2343,968
Factor Arrows
2171,984
Factor Arrows
285,992
Factor Arrows
242,996
Factor Arrows
221,498
Factor Arrows
210,749
Factor Arrows
33,583

The prime factorization in exponential form is: 28 x 31 x 3,5831

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.

2,751,744 = 28 x 31 x 3,5831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(2751744) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2751744) = (9)(2)(2)
Down Arrow
d(2751744) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 2,751,744 and how to find them.

Try the factor calculator.

Explore more about the number 2,751,744:


Ask a Question