Q: What are the factor combinations of the number 13,182,385?

 A:
Positive:   1 x 131823855 x 263647729 x 454565145 x 90913229 x 57565397 x 332051145 x 115131985 x 6641
Negative: -1 x -13182385-5 x -2636477-29 x -454565-145 x -90913-229 x -57565-397 x -33205-1145 x -11513-1985 x -6641


How do I find the factor combinations of the number 13,182,385?

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 13,182,385, 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 13,182,385
-1 -13,182,385

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 13,182,385.

Example:
1 x 13,182,385 = 13,182,385
and
-1 x -13,182,385 = 13,182,385
Notice both answers equal 13,182,385

With that explanation out of the way, let's continue. Next, we take the number 13,182,385 and divide it by 2:

13,182,385 ÷ 2 = 6,591,192.5

If the quotient is a whole number, then 2 and 6,591,192.5 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 13,182,385
-1 -13,182,385

Now, we try dividing 13,182,385 by 3:

13,182,385 ÷ 3 = 4,394,128.3333

If the quotient is a whole number, then 3 and 4,394,128.3333 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 13,182,385
-1 -13,182,385

Let's try dividing by 4:

13,182,385 ÷ 4 = 3,295,596.25

If the quotient is a whole number, then 4 and 3,295,596.25 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 13,182,385
-1 13,182,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452293971,1451,9856,64111,51333,20557,56590,913454,5652,636,47713,182,385
-1-5-29-145-229-397-1,145-1,985-6,641-11,513-33,205-57,565-90,913-454,565-2,636,477-13,182,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,182,385:


Ask a Question