Q: What are the factor combinations of the number 12,938,627?

 A:
Positive:   1 x 1293862713 x 99527923 x 562549109 x 118703299 x 43273397 x 325911417 x 91312507 x 5161
Negative: -1 x -12938627-13 x -995279-23 x -562549-109 x -118703-299 x -43273-397 x -32591-1417 x -9131-2507 x -5161


How do I find the factor combinations of the number 12,938,627?

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 12,938,627, 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 12,938,627
-1 -12,938,627

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 12,938,627.

Example:
1 x 12,938,627 = 12,938,627
and
-1 x -12,938,627 = 12,938,627
Notice both answers equal 12,938,627

With that explanation out of the way, let's continue. Next, we take the number 12,938,627 and divide it by 2:

12,938,627 ÷ 2 = 6,469,313.5

If the quotient is a whole number, then 2 and 6,469,313.5 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 12,938,627
-1 -12,938,627

Now, we try dividing 12,938,627 by 3:

12,938,627 ÷ 3 = 4,312,875.6667

If the quotient is a whole number, then 3 and 4,312,875.6667 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 12,938,627
-1 -12,938,627

Let's try dividing by 4:

12,938,627 ÷ 4 = 3,234,656.75

If the quotient is a whole number, then 4 and 3,234,656.75 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 12,938,627
-1 12,938,627
Keep dividing by the next highest number until you cannot divide anymore.

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

113231092993971,4172,5075,1619,13132,59143,273118,703562,549995,27912,938,627
-1-13-23-109-299-397-1,417-2,507-5,161-9,131-32,591-43,273-118,703-562,549-995,279-12,938,627

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