Q: What are the factor combinations of the number 12,676,339?

 A:
Positive:   1 x 1267633913 x 97510317 x 74566741 x 309179221 x 57359533 x 23783697 x 181871399 x 9061
Negative: -1 x -12676339-13 x -975103-17 x -745667-41 x -309179-221 x -57359-533 x -23783-697 x -18187-1399 x -9061


How do I find the factor combinations of the number 12,676,339?

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 12,676,339, 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 12,676,339
-1 -12,676,339

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 12,676,339.

Example:
1 x 12,676,339 = 12,676,339
and
-1 x -12,676,339 = 12,676,339
Notice both answers equal 12,676,339

With that explanation out of the way, let's continue. Next, we take the number 12,676,339 and divide it by 2:

12,676,339 ÷ 2 = 6,338,169.5

If the quotient is a whole number, then 2 and 6,338,169.5 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 12,676,339
-1 -12,676,339

Now, we try dividing 12,676,339 by 3:

12,676,339 ÷ 3 = 4,225,446.3333

If the quotient is a whole number, then 3 and 4,225,446.3333 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 12,676,339
-1 -12,676,339

Let's try dividing by 4:

12,676,339 ÷ 4 = 3,169,084.75

If the quotient is a whole number, then 4 and 3,169,084.75 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 12,676,339
-1 12,676,339
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336971,3999,06118,18723,78357,359309,179745,667975,10312,676,339
-1-13-17-41-221-533-697-1,399-9,061-18,187-23,783-57,359-309,179-745,667-975,103-12,676,339

More Examples

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