Q: What is the total or count of factors of the number 4,231,520?

 A: 48

How do I find the total factors of the number 4,231,520?

Step 1

Find the prime factorization of the number 4,231,520.

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

Factor Tree
4,231,520
Factor Arrows
22,115,760
Factor Arrows
21,057,880
Factor Arrows
2528,940
Factor Arrows
2264,470
Factor Arrows
2132,235
Factor Arrows
526,447
Factor Arrows
53499

The prime factorization in exponential form is: 25 x 51 x 531 x 4991

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.

4,231,520 = 25 x 51 x 531 x 4991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(4231520) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4231520) = (6)(2)(2)(2)
Down Arrow
d(4231520) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 4,231,520 and how to find them.

Try the factor calculator.

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