Q: What is the total or count of factors of the number 583,638?

 A: 32

How do I find the total factors of the number 583,638?

Step 1

Find the prime factorization of the number 583,638.

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

Factor Tree
583,638
Factor Arrows
2291,819
Factor Arrows
397,273
Factor Arrows
118,843
Factor Arrows
37239

The prime factorization in exponential form is: 21 x 31 x 111 x 371 x 2391

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)(e + 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.

583,638 = 21 x 31 x 111 x 371 x 2391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(583638) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(583638) = (2)(2)(2)(2)(2)
Down Arrow
d(583638) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 583,638 and how to find them.

Try the factor calculator.

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