Q: What are the factor combinations of the number 13,361,125?

 A:
Positive:   1 x 133611255 x 267222525 x 53444589 x 150125125 x 106889445 x 300251201 x 111252225 x 6005
Negative: -1 x -13361125-5 x -2672225-25 x -534445-89 x -150125-125 x -106889-445 x -30025-1201 x -11125-2225 x -6005


How do I find the factor combinations of the number 13,361,125?

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 13,361,125, 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 13,361,125
-1 -13,361,125

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 13,361,125.

Example:
1 x 13,361,125 = 13,361,125
and
-1 x -13,361,125 = 13,361,125
Notice both answers equal 13,361,125

With that explanation out of the way, let's continue. Next, we take the number 13,361,125 and divide it by 2:

13,361,125 ÷ 2 = 6,680,562.5

If the quotient is a whole number, then 2 and 6,680,562.5 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 13,361,125
-1 -13,361,125

Now, we try dividing 13,361,125 by 3:

13,361,125 ÷ 3 = 4,453,708.3333

If the quotient is a whole number, then 3 and 4,453,708.3333 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 13,361,125
-1 -13,361,125

Let's try dividing by 4:

13,361,125 ÷ 4 = 3,340,281.25

If the quotient is a whole number, then 4 and 3,340,281.25 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 13,361,125
-1 13,361,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891254451,2012,2256,00511,12530,025106,889150,125534,4452,672,22513,361,125
-1-5-25-89-125-445-1,201-2,225-6,005-11,125-30,025-106,889-150,125-534,445-2,672,225-13,361,125

More Examples

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