Q: What is the total or count of factors of the number 236,344?

 A: 16

How do I find the total factors of the number 236,344?

Step 1

Find the prime factorization of the number 236,344.

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

Factor Tree
236,344
Factor Arrows
2118,172
Factor Arrows
259,086
Factor Arrows
229,543
Factor Arrows
31953

The prime factorization in exponential form is: 23 x 311 x 9531

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.

236,344 = 23 x 311 x 9531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(236344) = (3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(236344) = (4)(2)(2)
Down Arrow
d(236344) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 236,344 and how to find them.

Try the factor calculator.

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