Q: What are the factor combinations of the number 231,936,859?

 A:
Positive:   1 x 2319368597 x 3313383711 x 2108516977 x 30121671151 x 2015092617 x 886278057 x 2878712661 x 18319
Negative: -1 x -231936859-7 x -33133837-11 x -21085169-77 x -3012167-1151 x -201509-2617 x -88627-8057 x -28787-12661 x -18319


How do I find the factor combinations of the number 231,936,859?

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 231,936,859, 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.

1 231,936,859
-1 -231,936,859

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 231,936,859.

Example:
1 x 231,936,859 = 231,936,859
and
-1 x -231,936,859 = 231,936,859
Notice both answers equal 231,936,859

With that explanation out of the way, let's continue. Next, we take the number 231,936,859 and divide it by 2:

231,936,859 ÷ 2 = 115,968,429.5

If the quotient is a whole number, then 2 and 115,968,429.5 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:

1 231,936,859
-1 -231,936,859

Now, we try dividing 231,936,859 by 3:

231,936,859 ÷ 3 = 77,312,286.3333

If the quotient is a whole number, then 3 and 77,312,286.3333 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:

1 231,936,859
-1 -231,936,859

Let's try dividing by 4:

231,936,859 ÷ 4 = 57,984,214.75

If the quotient is a whole number, then 4 and 57,984,214.75 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:

1 231,936,859
-1 231,936,859
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,1512,6178,05712,66118,31928,78788,627201,5093,012,16721,085,16933,133,837231,936,859
-1-7-11-77-1,151-2,617-8,057-12,661-18,319-28,787-88,627-201,509-3,012,167-21,085,169-33,133,837-231,936,859

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