Q: What are the factor combinations of the number 231,030,013?

 A:
Positive:   1 x 23103001343 x 5372791107 x 2159159149 x 1550537337 x 6855494601 x 502136407 x 3605914491 x 15943
Negative: -1 x -231030013-43 x -5372791-107 x -2159159-149 x -1550537-337 x -685549-4601 x -50213-6407 x -36059-14491 x -15943


How do I find the factor combinations of the number 231,030,013?

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 231,030,013, 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.

1 231,030,013
-1 -231,030,013

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 231,030,013.

Example:
1 x 231,030,013 = 231,030,013
and
-1 x -231,030,013 = 231,030,013
Notice both answers equal 231,030,013

With that explanation out of the way, let's continue. Next, we take the number 231,030,013 and divide it by 2:

231,030,013 ÷ 2 = 115,515,006.5

If the quotient is a whole number, then 2 and 115,515,006.5 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:

1 231,030,013
-1 -231,030,013

Now, we try dividing 231,030,013 by 3:

231,030,013 ÷ 3 = 77,010,004.3333

If the quotient is a whole number, then 3 and 77,010,004.3333 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:

1 231,030,013
-1 -231,030,013

Let's try dividing by 4:

231,030,013 ÷ 4 = 57,757,503.25

If the quotient is a whole number, then 4 and 57,757,503.25 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:

1 231,030,013
-1 231,030,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1431071493374,6016,40714,49115,94336,05950,213685,5491,550,5372,159,1595,372,791231,030,013
-1-43-107-149-337-4,601-6,407-14,491-15,943-36,059-50,213-685,549-1,550,537-2,159,159-5,372,791-231,030,013

More Examples

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