Q: What is the total or count of factors of the number 123,262,236?

 A: 84

How do I find the total factors of the number 123,262,236?

Step 1

Find the prime factorization of the number 123,262,236.

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

Factor Tree
123,262,236
Factor Arrows
261,631,118
Factor Arrows
230,815,559
Factor Arrows
310,271,853
Factor Arrows
33,423,951
Factor Arrows
31,141,317
Factor Arrows
3380,439
Factor Arrows
3126,813
Factor Arrows
342,271
Factor Arrows
411,031

The prime factorization in exponential form is: 22 x 36 x 411 x 1,0311

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.

123,262,236 = 22 x 36 x 411 x 1,0311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(123262236) = (2 + 1)(6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(123262236) = (3)(7)(2)(2)
Down Arrow
d(123262236) = 84

More numbers for you to try

Take a look at the factors page to see the factors of 123,262,236 and how to find them.

Try the factor calculator.

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