Q: What are the factor combinations of the number 12,087,229?

 A:
Positive:   1 x 120872297 x 172674711 x 109883929 x 41680177 x 156977203 x 59543319 x 378912233 x 5413
Negative: -1 x -12087229-7 x -1726747-11 x -1098839-29 x -416801-77 x -156977-203 x -59543-319 x -37891-2233 x -5413


How do I find the factor combinations of the number 12,087,229?

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 12,087,229, 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 12,087,229
-1 -12,087,229

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 12,087,229.

Example:
1 x 12,087,229 = 12,087,229
and
-1 x -12,087,229 = 12,087,229
Notice both answers equal 12,087,229

With that explanation out of the way, let's continue. Next, we take the number 12,087,229 and divide it by 2:

12,087,229 ÷ 2 = 6,043,614.5

If the quotient is a whole number, then 2 and 6,043,614.5 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 12,087,229
-1 -12,087,229

Now, we try dividing 12,087,229 by 3:

12,087,229 ÷ 3 = 4,029,076.3333

If the quotient is a whole number, then 3 and 4,029,076.3333 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 12,087,229
-1 -12,087,229

Let's try dividing by 4:

12,087,229 ÷ 4 = 3,021,807.25

If the quotient is a whole number, then 4 and 3,021,807.25 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 12,087,229
-1 12,087,229
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,2335,41337,89159,543156,977416,8011,098,8391,726,74712,087,229
-1-7-11-29-77-203-319-2,233-5,413-37,891-59,543-156,977-416,801-1,098,839-1,726,747-12,087,229

More Examples

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