Q: What is the total or count of factors of the number 60,004,472?

 A: 32

How do I find the total factors of the number 60,004,472?

Step 1

Find the prime factorization of the number 60,004,472.

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

Factor Tree
60,004,472
Factor Arrows
230,002,236
Factor Arrows
215,001,118
Factor Arrows
27,500,559
Factor Arrows
11681,869
Factor Arrows
1933,533

The prime factorization in exponential form is: 23 x 111 x 1931 x 3,5331

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.

60,004,472 = 23 x 111 x 1931 x 3,5331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(60004472) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(60004472) = (4)(2)(2)(2)
Down Arrow
d(60004472) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 60,004,472 and how to find them.

Try the factor calculator.

Explore more about the number 60,004,472:


Ask a Question