Q: What are the factor combinations of the number 13,363,621?

 A:
Positive:   1 x 1336362123 x 581027479 x 278991213 x 11017
Negative: -1 x -13363621-23 x -581027-479 x -27899-1213 x -11017


How do I find the factor combinations of the number 13,363,621?

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 13,363,621, 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 13,363,621
-1 -13,363,621

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 13,363,621.

Example:
1 x 13,363,621 = 13,363,621
and
-1 x -13,363,621 = 13,363,621
Notice both answers equal 13,363,621

With that explanation out of the way, let's continue. Next, we take the number 13,363,621 and divide it by 2:

13,363,621 ÷ 2 = 6,681,810.5

If the quotient is a whole number, then 2 and 6,681,810.5 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 13,363,621
-1 -13,363,621

Now, we try dividing 13,363,621 by 3:

13,363,621 ÷ 3 = 4,454,540.3333

If the quotient is a whole number, then 3 and 4,454,540.3333 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 13,363,621
-1 -13,363,621

Let's try dividing by 4:

13,363,621 ÷ 4 = 3,340,905.25

If the quotient is a whole number, then 4 and 3,340,905.25 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 13,363,621
-1 13,363,621
Keep dividing by the next highest number until you cannot divide anymore.

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

1234791,21311,01727,899581,02713,363,621
-1-23-479-1,213-11,017-27,899-581,027-13,363,621

More Examples

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