Q: What are the factor combinations of the number 231,571,373?

 A:
Positive:   1 x 23157137311 x 2105194319 x 12187967121 x 1913813209 x 11079971331 x 1739832299 x 1007279157 x 25289
Negative: -1 x -231571373-11 x -21051943-19 x -12187967-121 x -1913813-209 x -1107997-1331 x -173983-2299 x -100727-9157 x -25289


How do I find the factor combinations of the number 231,571,373?

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 231,571,373, 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.

1 231,571,373
-1 -231,571,373

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 231,571,373.

Example:
1 x 231,571,373 = 231,571,373
and
-1 x -231,571,373 = 231,571,373
Notice both answers equal 231,571,373

With that explanation out of the way, let's continue. Next, we take the number 231,571,373 and divide it by 2:

231,571,373 ÷ 2 = 115,785,686.5

If the quotient is a whole number, then 2 and 115,785,686.5 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:

1 231,571,373
-1 -231,571,373

Now, we try dividing 231,571,373 by 3:

231,571,373 ÷ 3 = 77,190,457.6667

If the quotient is a whole number, then 3 and 77,190,457.6667 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:

1 231,571,373
-1 -231,571,373

Let's try dividing by 4:

231,571,373 ÷ 4 = 57,892,843.25

If the quotient is a whole number, then 4 and 57,892,843.25 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:

1 231,571,373
-1 231,571,373
Keep dividing by the next highest number until you cannot divide anymore.

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

111191212091,3312,2999,15725,289100,727173,9831,107,9971,913,81312,187,96721,051,943231,571,373
-1-11-19-121-209-1,331-2,299-9,157-25,289-100,727-173,983-1,107,997-1,913,813-12,187,967-21,051,943-231,571,373

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