Q: What are the factor combinations of the number 13,032,223?

 A:
Positive:   1 x 1303222329 x 44938753 x 24589161 x 213643139 x 937571537 x 84791769 x 73673233 x 4031
Negative: -1 x -13032223-29 x -449387-53 x -245891-61 x -213643-139 x -93757-1537 x -8479-1769 x -7367-3233 x -4031


How do I find the factor combinations of the number 13,032,223?

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 13,032,223, 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 13,032,223
-1 -13,032,223

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 13,032,223.

Example:
1 x 13,032,223 = 13,032,223
and
-1 x -13,032,223 = 13,032,223
Notice both answers equal 13,032,223

With that explanation out of the way, let's continue. Next, we take the number 13,032,223 and divide it by 2:

13,032,223 ÷ 2 = 6,516,111.5

If the quotient is a whole number, then 2 and 6,516,111.5 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 13,032,223
-1 -13,032,223

Now, we try dividing 13,032,223 by 3:

13,032,223 ÷ 3 = 4,344,074.3333

If the quotient is a whole number, then 3 and 4,344,074.3333 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 13,032,223
-1 -13,032,223

Let's try dividing by 4:

13,032,223 ÷ 4 = 3,258,055.75

If the quotient is a whole number, then 4 and 3,258,055.75 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 13,032,223
-1 13,032,223
Keep dividing by the next highest number until you cannot divide anymore.

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

12953611391,5371,7693,2334,0317,3678,47993,757213,643245,891449,38713,032,223
-1-29-53-61-139-1,537-1,769-3,233-4,031-7,367-8,479-93,757-213,643-245,891-449,387-13,032,223

More Examples

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