Q: What are the factor combinations of the number 13,512,317?

 A:
Positive:   1 x 135123177 x 193033113 x 103940983 x 16279991 x 148487581 x 232571079 x 125231789 x 7553
Negative: -1 x -13512317-7 x -1930331-13 x -1039409-83 x -162799-91 x -148487-581 x -23257-1079 x -12523-1789 x -7553


How do I find the factor combinations of the number 13,512,317?

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 13,512,317, 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 13,512,317
-1 -13,512,317

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 13,512,317.

Example:
1 x 13,512,317 = 13,512,317
and
-1 x -13,512,317 = 13,512,317
Notice both answers equal 13,512,317

With that explanation out of the way, let's continue. Next, we take the number 13,512,317 and divide it by 2:

13,512,317 ÷ 2 = 6,756,158.5

If the quotient is a whole number, then 2 and 6,756,158.5 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 13,512,317
-1 -13,512,317

Now, we try dividing 13,512,317 by 3:

13,512,317 ÷ 3 = 4,504,105.6667

If the quotient is a whole number, then 3 and 4,504,105.6667 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 13,512,317
-1 -13,512,317

Let's try dividing by 4:

13,512,317 ÷ 4 = 3,378,079.25

If the quotient is a whole number, then 4 and 3,378,079.25 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 13,512,317
-1 13,512,317
Keep dividing by the next highest number until you cannot divide anymore.

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

171383915811,0791,7897,55312,52323,257148,487162,7991,039,4091,930,33113,512,317
-1-7-13-83-91-581-1,079-1,789-7,553-12,523-23,257-148,487-162,799-1,039,409-1,930,331-13,512,317

More Examples

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