Q: What are the factor combinations of the number 231,652,237?

 A:
Positive:   1 x 23165223719 x 1219222347 x 4928771149 x 1554713893 x 2594091741 x 1330572831 x 818277003 x 33079
Negative: -1 x -231652237-19 x -12192223-47 x -4928771-149 x -1554713-893 x -259409-1741 x -133057-2831 x -81827-7003 x -33079


How do I find the factor combinations of the number 231,652,237?

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 231,652,237, 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.

1 231,652,237
-1 -231,652,237

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 231,652,237.

Example:
1 x 231,652,237 = 231,652,237
and
-1 x -231,652,237 = 231,652,237
Notice both answers equal 231,652,237

With that explanation out of the way, let's continue. Next, we take the number 231,652,237 and divide it by 2:

231,652,237 ÷ 2 = 115,826,118.5

If the quotient is a whole number, then 2 and 115,826,118.5 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:

1 231,652,237
-1 -231,652,237

Now, we try dividing 231,652,237 by 3:

231,652,237 ÷ 3 = 77,217,412.3333

If the quotient is a whole number, then 3 and 77,217,412.3333 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:

1 231,652,237
-1 -231,652,237

Let's try dividing by 4:

231,652,237 ÷ 4 = 57,913,059.25

If the quotient is a whole number, then 4 and 57,913,059.25 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:

1 231,652,237
-1 231,652,237
Keep dividing by the next highest number until you cannot divide anymore.

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

119471498931,7412,8317,00333,07981,827133,057259,4091,554,7134,928,77112,192,223231,652,237
-1-19-47-149-893-1,741-2,831-7,003-33,079-81,827-133,057-259,409-1,554,713-4,928,771-12,192,223-231,652,237

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