Q: What is the total or count of factors of the number 74,104,960?

 A: 64

How do I find the total factors of the number 74,104,960?

Step 1

Find the prime factorization of the number 74,104,960.

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

Factor Tree
74,104,960
Factor Arrows
237,052,480
Factor Arrows
218,526,240
Factor Arrows
29,263,120
Factor Arrows
24,631,560
Factor Arrows
22,315,780
Factor Arrows
21,157,890
Factor Arrows
2578,945
Factor Arrows
5115,789
Factor Arrows
891,301

The prime factorization in exponential form is: 27 x 51 x 891 x 1,3011

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.

74,104,960 = 27 x 51 x 891 x 1,3011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(74104960) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(74104960) = (8)(2)(2)(2)
Down Arrow
d(74104960) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 74,104,960 and how to find them.

Try the factor calculator.

Explore more about the number 74,104,960:


Ask a Question