Q: What is the total or count of factors of the number 588,768?

 A: 24

How do I find the total factors of the number 588,768?

Step 1

Find the prime factorization of the number 588,768.

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

Factor Tree
588,768
Factor Arrows
2294,384
Factor Arrows
2147,192
Factor Arrows
273,596
Factor Arrows
236,798
Factor Arrows
218,399
Factor Arrows
36,133

The prime factorization in exponential form is: 25 x 31 x 6,1331

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.

588,768 = 25 x 31 x 6,1331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(588768) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(588768) = (6)(2)(2)
Down Arrow
d(588768) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 588,768 and how to find them.

Try the factor calculator.

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