Q: What are the factor combinations of the number 231,331,243?

 A:
Positive:   1 x 23133124311 x 2103011313 x 17794711143 x 1617701373 x 6201914103 x 563814337 x 533394849 x 47707
Negative: -1 x -231331243-11 x -21030113-13 x -17794711-143 x -1617701-373 x -620191-4103 x -56381-4337 x -53339-4849 x -47707


How do I find the factor combinations of the number 231,331,243?

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 231,331,243, 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.

1 231,331,243
-1 -231,331,243

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 231,331,243.

Example:
1 x 231,331,243 = 231,331,243
and
-1 x -231,331,243 = 231,331,243
Notice both answers equal 231,331,243

With that explanation out of the way, let's continue. Next, we take the number 231,331,243 and divide it by 2:

231,331,243 ÷ 2 = 115,665,621.5

If the quotient is a whole number, then 2 and 115,665,621.5 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:

1 231,331,243
-1 -231,331,243

Now, we try dividing 231,331,243 by 3:

231,331,243 ÷ 3 = 77,110,414.3333

If the quotient is a whole number, then 3 and 77,110,414.3333 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:

1 231,331,243
-1 -231,331,243

Let's try dividing by 4:

231,331,243 ÷ 4 = 57,832,810.75

If the quotient is a whole number, then 4 and 57,832,810.75 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:

1 231,331,243
-1 231,331,243
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433734,1034,3374,84947,70753,33956,381620,1911,617,70117,794,71121,030,113231,331,243
-1-11-13-143-373-4,103-4,337-4,849-47,707-53,339-56,381-620,191-1,617,701-17,794,711-21,030,113-231,331,243

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