Q: What is the total or count of factors of the number 574,240?

 A: 48

How do I find the total factors of the number 574,240?

Step 1

Find the prime factorization of the number 574,240.

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

Factor Tree
574,240
Factor Arrows
2287,120
Factor Arrows
2143,560
Factor Arrows
271,780
Factor Arrows
235,890
Factor Arrows
217,945
Factor Arrows
53,589
Factor Arrows
3797

The prime factorization in exponential form is: 25 x 51 x 371 x 971

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.

574,240 = 25 x 51 x 371 x 971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(574240) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(574240) = (6)(2)(2)(2)
Down Arrow
d(574240) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 574,240 and how to find them.

Try the factor calculator.

Explore more about the number 574,240:


Ask a Question