Q: What are the factor combinations of the number 239,338,931?

 A:
Positive:   1 x 23933893113 x 18410687163 x 1468337179 x 1337089631 x 3793012119 x 1129492327 x 1028538203 x 29177
Negative: -1 x -239338931-13 x -18410687-163 x -1468337-179 x -1337089-631 x -379301-2119 x -112949-2327 x -102853-8203 x -29177


How do I find the factor combinations of the number 239,338,931?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 239,338,931, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 239,338,931
-1 -239,338,931

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 239,338,931.

Example:
1 x 239,338,931 = 239,338,931
and
-1 x -239,338,931 = 239,338,931
Notice both answers equal 239,338,931

With that explanation out of the way, let's continue. Next, we take the number 239,338,931 and divide it by 2:

239,338,931 ÷ 2 = 119,669,465.5

If the quotient is a whole number, then 2 and 119,669,465.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 239,338,931
-1 -239,338,931

Now, we try dividing 239,338,931 by 3:

239,338,931 ÷ 3 = 79,779,643.6667

If the quotient is a whole number, then 3 and 79,779,643.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 239,338,931
-1 -239,338,931

Let's try dividing by 4:

239,338,931 ÷ 4 = 59,834,732.75

If the quotient is a whole number, then 4 and 59,834,732.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 239,338,931
-1 239,338,931
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1131631796312,1192,3278,20329,177102,853112,949379,3011,337,0891,468,33718,410,687239,338,931
-1-13-163-179-631-2,119-2,327-8,203-29,177-102,853-112,949-379,301-1,337,089-1,468,337-18,410,687-239,338,931

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