Q: What are the factor combinations of the number 12,054,721?

 A:
Positive:   1 x 120547217 x 172210319 x 634459133 x 90637233 x 51737389 x 309891631 x 73912723 x 4427
Negative: -1 x -12054721-7 x -1722103-19 x -634459-133 x -90637-233 x -51737-389 x -30989-1631 x -7391-2723 x -4427


How do I find the factor combinations of the number 12,054,721?

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 12,054,721, 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 12,054,721
-1 -12,054,721

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 12,054,721.

Example:
1 x 12,054,721 = 12,054,721
and
-1 x -12,054,721 = 12,054,721
Notice both answers equal 12,054,721

With that explanation out of the way, let's continue. Next, we take the number 12,054,721 and divide it by 2:

12,054,721 ÷ 2 = 6,027,360.5

If the quotient is a whole number, then 2 and 6,027,360.5 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 12,054,721
-1 -12,054,721

Now, we try dividing 12,054,721 by 3:

12,054,721 ÷ 3 = 4,018,240.3333

If the quotient is a whole number, then 3 and 4,018,240.3333 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 12,054,721
-1 -12,054,721

Let's try dividing by 4:

12,054,721 ÷ 4 = 3,013,680.25

If the quotient is a whole number, then 4 and 3,013,680.25 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 12,054,721
-1 12,054,721
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332333891,6312,7234,4277,39130,98951,73790,637634,4591,722,10312,054,721
-1-7-19-133-233-389-1,631-2,723-4,427-7,391-30,989-51,737-90,637-634,459-1,722,103-12,054,721

More Examples

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