Q: What are the factor combinations of the number 13,217,315?

 A:
Positive:   1 x 132173155 x 264346331 x 426365155 x 85273269 x 49135317 x 416951345 x 98271585 x 8339
Negative: -1 x -13217315-5 x -2643463-31 x -426365-155 x -85273-269 x -49135-317 x -41695-1345 x -9827-1585 x -8339


How do I find the factor combinations of the number 13,217,315?

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 13,217,315, 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 13,217,315
-1 -13,217,315

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 13,217,315.

Example:
1 x 13,217,315 = 13,217,315
and
-1 x -13,217,315 = 13,217,315
Notice both answers equal 13,217,315

With that explanation out of the way, let's continue. Next, we take the number 13,217,315 and divide it by 2:

13,217,315 ÷ 2 = 6,608,657.5

If the quotient is a whole number, then 2 and 6,608,657.5 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 13,217,315
-1 -13,217,315

Now, we try dividing 13,217,315 by 3:

13,217,315 ÷ 3 = 4,405,771.6667

If the quotient is a whole number, then 3 and 4,405,771.6667 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 13,217,315
-1 -13,217,315

Let's try dividing by 4:

13,217,315 ÷ 4 = 3,304,328.75

If the quotient is a whole number, then 4 and 3,304,328.75 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 13,217,315
-1 13,217,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552693171,3451,5858,3399,82741,69549,13585,273426,3652,643,46313,217,315
-1-5-31-155-269-317-1,345-1,585-8,339-9,827-41,695-49,135-85,273-426,365-2,643,463-13,217,315

More Examples

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