Q: What are the factor combinations of the number 13,363,517?

 A:
Positive:   1 x 1336351719 x 703343281 x 475572503 x 5339
Negative: -1 x -13363517-19 x -703343-281 x -47557-2503 x -5339


How do I find the factor combinations of the number 13,363,517?

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 13,363,517, 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 13,363,517
-1 -13,363,517

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 13,363,517.

Example:
1 x 13,363,517 = 13,363,517
and
-1 x -13,363,517 = 13,363,517
Notice both answers equal 13,363,517

With that explanation out of the way, let's continue. Next, we take the number 13,363,517 and divide it by 2:

13,363,517 ÷ 2 = 6,681,758.5

If the quotient is a whole number, then 2 and 6,681,758.5 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 13,363,517
-1 -13,363,517

Now, we try dividing 13,363,517 by 3:

13,363,517 ÷ 3 = 4,454,505.6667

If the quotient is a whole number, then 3 and 4,454,505.6667 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 13,363,517
-1 -13,363,517

Let's try dividing by 4:

13,363,517 ÷ 4 = 3,340,879.25

If the quotient is a whole number, then 4 and 3,340,879.25 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 13,363,517
-1 13,363,517
Keep dividing by the next highest number until you cannot divide anymore.

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

1192812,5035,33947,557703,34313,363,517
-1-19-281-2,503-5,339-47,557-703,343-13,363,517

More Examples

Here are some more numbers to try:

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