Q: What are the factor combinations of the number 231,725,615?

 A:
Positive:   1 x 2317256155 x 4634512311 x 2106596519 x 1219608555 x 421319395 x 2439217209 x 11087351045 x 221747
Negative: -1 x -231725615-5 x -46345123-11 x -21065965-19 x -12196085-55 x -4213193-95 x -2439217-209 x -1108735-1045 x -221747


How do I find the factor combinations of the number 231,725,615?

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 231,725,615, 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.

1 231,725,615
-1 -231,725,615

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 231,725,615.

Example:
1 x 231,725,615 = 231,725,615
and
-1 x -231,725,615 = 231,725,615
Notice both answers equal 231,725,615

With that explanation out of the way, let's continue. Next, we take the number 231,725,615 and divide it by 2:

231,725,615 ÷ 2 = 115,862,807.5

If the quotient is a whole number, then 2 and 115,862,807.5 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:

1 231,725,615
-1 -231,725,615

Now, we try dividing 231,725,615 by 3:

231,725,615 ÷ 3 = 77,241,871.6667

If the quotient is a whole number, then 3 and 77,241,871.6667 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:

1 231,725,615
-1 -231,725,615

Let's try dividing by 4:

231,725,615 ÷ 4 = 57,931,403.75

If the quotient is a whole number, then 4 and 57,931,403.75 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:

1 231,725,615
-1 231,725,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045221,7471,108,7352,439,2174,213,19312,196,08521,065,96546,345,123231,725,615
-1-5-11-19-55-95-209-1,045-221,747-1,108,735-2,439,217-4,213,193-12,196,085-21,065,965-46,345,123-231,725,615

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