Q: What are the factor combinations of the number 231,060,197?

 A:
Positive:   1 x 23106019719 x 1216106329 x 7967593157 x 1471721551 x 4193472671 x 865072983 x 774594553 x 50749
Negative: -1 x -231060197-19 x -12161063-29 x -7967593-157 x -1471721-551 x -419347-2671 x -86507-2983 x -77459-4553 x -50749


How do I find the factor combinations of the number 231,060,197?

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 231,060,197, 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.

1 231,060,197
-1 -231,060,197

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 231,060,197.

Example:
1 x 231,060,197 = 231,060,197
and
-1 x -231,060,197 = 231,060,197
Notice both answers equal 231,060,197

With that explanation out of the way, let's continue. Next, we take the number 231,060,197 and divide it by 2:

231,060,197 ÷ 2 = 115,530,098.5

If the quotient is a whole number, then 2 and 115,530,098.5 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:

1 231,060,197
-1 -231,060,197

Now, we try dividing 231,060,197 by 3:

231,060,197 ÷ 3 = 77,020,065.6667

If the quotient is a whole number, then 3 and 77,020,065.6667 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:

1 231,060,197
-1 -231,060,197

Let's try dividing by 4:

231,060,197 ÷ 4 = 57,765,049.25

If the quotient is a whole number, then 4 and 57,765,049.25 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:

1 231,060,197
-1 231,060,197
Keep dividing by the next highest number until you cannot divide anymore.

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

119291575512,6712,9834,55350,74977,45986,507419,3471,471,7217,967,59312,161,063231,060,197
-1-19-29-157-551-2,671-2,983-4,553-50,749-77,459-86,507-419,347-1,471,721-7,967,593-12,161,063-231,060,197

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