Q: What are the factor combinations of the number 231,013,043?

 A:
Positive:   1 x 23101304329 x 7965967457 x 50549913253 x 17431
Negative: -1 x -231013043-29 x -7965967-457 x -505499-13253 x -17431


How do I find the factor combinations of the number 231,013,043?

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 231,013,043, 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.

1 231,013,043
-1 -231,013,043

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 231,013,043.

Example:
1 x 231,013,043 = 231,013,043
and
-1 x -231,013,043 = 231,013,043
Notice both answers equal 231,013,043

With that explanation out of the way, let's continue. Next, we take the number 231,013,043 and divide it by 2:

231,013,043 ÷ 2 = 115,506,521.5

If the quotient is a whole number, then 2 and 115,506,521.5 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:

1 231,013,043
-1 -231,013,043

Now, we try dividing 231,013,043 by 3:

231,013,043 ÷ 3 = 77,004,347.6667

If the quotient is a whole number, then 3 and 77,004,347.6667 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:

1 231,013,043
-1 -231,013,043

Let's try dividing by 4:

231,013,043 ÷ 4 = 57,753,260.75

If the quotient is a whole number, then 4 and 57,753,260.75 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:

1 231,013,043
-1 231,013,043
Keep dividing by the next highest number until you cannot divide anymore.

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

12945713,25317,431505,4997,965,967231,013,043
-1-29-457-13,253-17,431-505,499-7,965,967-231,013,043

More Examples

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