Q: What are the factor combinations of the number 231,076,373?

 A:
Positive:   1 x 23107637311 x 21006943127 x 1819499251 x 920623659 x 3506471397 x 1654092761 x 836937249 x 31877
Negative: -1 x -231076373-11 x -21006943-127 x -1819499-251 x -920623-659 x -350647-1397 x -165409-2761 x -83693-7249 x -31877


How do I find the factor combinations of the number 231,076,373?

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 231,076,373, 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.

1 231,076,373
-1 -231,076,373

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 231,076,373.

Example:
1 x 231,076,373 = 231,076,373
and
-1 x -231,076,373 = 231,076,373
Notice both answers equal 231,076,373

With that explanation out of the way, let's continue. Next, we take the number 231,076,373 and divide it by 2:

231,076,373 ÷ 2 = 115,538,186.5

If the quotient is a whole number, then 2 and 115,538,186.5 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:

1 231,076,373
-1 -231,076,373

Now, we try dividing 231,076,373 by 3:

231,076,373 ÷ 3 = 77,025,457.6667

If the quotient is a whole number, then 3 and 77,025,457.6667 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:

1 231,076,373
-1 -231,076,373

Let's try dividing by 4:

231,076,373 ÷ 4 = 57,769,093.25

If the quotient is a whole number, then 4 and 57,769,093.25 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:

1 231,076,373
-1 231,076,373
Keep dividing by the next highest number until you cannot divide anymore.

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

1111272516591,3972,7617,24931,87783,693165,409350,647920,6231,819,49921,006,943231,076,373
-1-11-127-251-659-1,397-2,761-7,249-31,877-83,693-165,409-350,647-920,623-1,819,499-21,006,943-231,076,373

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