Q: What are the factor combinations of the number 12,948,485?

 A:
Positive:   1 x 129484855 x 258969711 x 117713555 x 235427311 x 41635757 x 171051555 x 83273421 x 3785
Negative: -1 x -12948485-5 x -2589697-11 x -1177135-55 x -235427-311 x -41635-757 x -17105-1555 x -8327-3421 x -3785


How do I find the factor combinations of the number 12,948,485?

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 12,948,485, 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 12,948,485
-1 -12,948,485

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 12,948,485.

Example:
1 x 12,948,485 = 12,948,485
and
-1 x -12,948,485 = 12,948,485
Notice both answers equal 12,948,485

With that explanation out of the way, let's continue. Next, we take the number 12,948,485 and divide it by 2:

12,948,485 ÷ 2 = 6,474,242.5

If the quotient is a whole number, then 2 and 6,474,242.5 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 12,948,485
-1 -12,948,485

Now, we try dividing 12,948,485 by 3:

12,948,485 ÷ 3 = 4,316,161.6667

If the quotient is a whole number, then 3 and 4,316,161.6667 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 12,948,485
-1 -12,948,485

Let's try dividing by 4:

12,948,485 ÷ 4 = 3,237,121.25

If the quotient is a whole number, then 4 and 3,237,121.25 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 12,948,485
-1 12,948,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553117571,5553,4213,7858,32717,10541,635235,4271,177,1352,589,69712,948,485
-1-5-11-55-311-757-1,555-3,421-3,785-8,327-17,105-41,635-235,427-1,177,135-2,589,697-12,948,485

More Examples

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