Q: What is the total or count of factors of the number 234,320,229?

 A: 32

How do I find the total factors of the number 234,320,229?

Step 1

Find the prime factorization of the number 234,320,229.

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

Factor Tree
234,320,229
Factor Arrows
378,106,743
Factor Arrows
326,035,581
Factor Arrows
38,678,527
Factor Arrows
11788,957
Factor Arrows
1360,689

The prime factorization in exponential form is: 33 x 111 x 131 x 60,6891

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)

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.

234,320,229 = 33 x 111 x 131 x 60,6891
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(234320229) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(234320229) = (4)(2)(2)(2)
Down Arrow
d(234320229) = 32

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Take a look at the factors page to see the factors of 234,320,229 and how to find them.

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