Q: What is the total or count of factors of the number 541,613,464?

 A: 32

How do I find the total factors of the number 541,613,464?

Step 1

Find the prime factorization of the number 541,613,464.

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

Factor Tree
541,613,464
Factor Arrows
2270,806,732
Factor Arrows
2135,403,366
Factor Arrows
267,701,683
Factor Arrows
79,671,669
Factor Arrows
71,381,667
Factor Arrows
7197,381

The prime factorization in exponential form is: 23 x 73 x 197,3811

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.

541,613,464 = 23 x 73 x 197,3811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(541613464) = (3 + 1)(3 + 1)(1 + 1)
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d(541613464) = (4)(4)(2)
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d(541613464) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 541,613,464 and how to find them.

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