Q: What are the factor combinations of the number 12,496,187?

 A:
Positive:   1 x 1249618711 x 113601729 x 43090343 x 290609319 x 39173473 x 26419911 x 137171247 x 10021
Negative: -1 x -12496187-11 x -1136017-29 x -430903-43 x -290609-319 x -39173-473 x -26419-911 x -13717-1247 x -10021


How do I find the factor combinations of the number 12,496,187?

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 12,496,187, 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 12,496,187
-1 -12,496,187

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 12,496,187.

Example:
1 x 12,496,187 = 12,496,187
and
-1 x -12,496,187 = 12,496,187
Notice both answers equal 12,496,187

With that explanation out of the way, let's continue. Next, we take the number 12,496,187 and divide it by 2:

12,496,187 ÷ 2 = 6,248,093.5

If the quotient is a whole number, then 2 and 6,248,093.5 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 12,496,187
-1 -12,496,187

Now, we try dividing 12,496,187 by 3:

12,496,187 ÷ 3 = 4,165,395.6667

If the quotient is a whole number, then 3 and 4,165,395.6667 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 12,496,187
-1 -12,496,187

Let's try dividing by 4:

12,496,187 ÷ 4 = 3,124,046.75

If the quotient is a whole number, then 4 and 3,124,046.75 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 12,496,187
-1 12,496,187
Keep dividing by the next highest number until you cannot divide anymore.

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

11129433194739111,24710,02113,71726,41939,173290,609430,9031,136,01712,496,187
-1-11-29-43-319-473-911-1,247-10,021-13,717-26,419-39,173-290,609-430,903-1,136,017-12,496,187

More Examples

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