Q: What is the total or count of factors of the number 578,464?

 A: 12

How do I find the total factors of the number 578,464?

Step 1

Find the prime factorization of the number 578,464.

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

Factor Tree
578,464
Factor Arrows
2289,232
Factor Arrows
2144,616
Factor Arrows
272,308
Factor Arrows
236,154
Factor Arrows
218,077

The prime factorization in exponential form is: 25 x 18,0771

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

578,464 = 25 x 18,0771
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d(n) = (a + 1)(b + 1)
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d(578464) = (5 + 1)(1 + 1)
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d(578464) = (6)(2)
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d(578464) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 578,464 and how to find them.

Try the factor calculator.

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