Q: What are the factor combinations of the number 13,533,625?

 A:
Positive:   1 x 135336255 x 27067257 x 193337525 x 54134535 x 386675125 x 108269175 x 77335875 x 15467
Negative: -1 x -13533625-5 x -2706725-7 x -1933375-25 x -541345-35 x -386675-125 x -108269-175 x -77335-875 x -15467


How do I find the factor combinations of the number 13,533,625?

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 13,533,625, 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 13,533,625
-1 -13,533,625

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 13,533,625.

Example:
1 x 13,533,625 = 13,533,625
and
-1 x -13,533,625 = 13,533,625
Notice both answers equal 13,533,625

With that explanation out of the way, let's continue. Next, we take the number 13,533,625 and divide it by 2:

13,533,625 ÷ 2 = 6,766,812.5

If the quotient is a whole number, then 2 and 6,766,812.5 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 13,533,625
-1 -13,533,625

Now, we try dividing 13,533,625 by 3:

13,533,625 ÷ 3 = 4,511,208.3333

If the quotient is a whole number, then 3 and 4,511,208.3333 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 13,533,625
-1 -13,533,625

Let's try dividing by 4:

13,533,625 ÷ 4 = 3,383,406.25

If the quotient is a whole number, then 4 and 3,383,406.25 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 13,533,625
-1 13,533,625
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587515,46777,335108,269386,675541,3451,933,3752,706,72513,533,625
-1-5-7-25-35-125-175-875-15,467-77,335-108,269-386,675-541,345-1,933,375-2,706,725-13,533,625

More Examples

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