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

 A:
Positive:   1 x 23123101313 x 17787001157 x 1472809277 x 834769409 x 5653572041 x 1132933601 x 642135317 x 43489
Negative: -1 x -231231013-13 x -17787001-157 x -1472809-277 x -834769-409 x -565357-2041 x -113293-3601 x -64213-5317 x -43489


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

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 231,231,013, 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.

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

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 231,231,013.

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

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

231,231,013 ÷ 2 = 115,615,506.5

If the quotient is a whole number, then 2 and 115,615,506.5 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:

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

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

231,231,013 ÷ 3 = 77,077,004.3333

If the quotient is a whole number, then 3 and 77,077,004.3333 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:

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

Let's try dividing by 4:

231,231,013 ÷ 4 = 57,807,753.25

If the quotient is a whole number, then 4 and 57,807,753.25 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:

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

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

1131572774092,0413,6015,31743,48964,213113,293565,357834,7691,472,80917,787,001231,231,013
-1-13-157-277-409-2,041-3,601-5,317-43,489-64,213-113,293-565,357-834,769-1,472,809-17,787,001-231,231,013

More Examples

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