Q: What are the factor combinations of the number 13,682,845?

 A:
Positive:   1 x 136828455 x 273656911 x 124389555 x 248779
Negative: -1 x -13682845-5 x -2736569-11 x -1243895-55 x -248779


How do I find the factor combinations of the number 13,682,845?

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 13,682,845, 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 13,682,845
-1 -13,682,845

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 13,682,845.

Example:
1 x 13,682,845 = 13,682,845
and
-1 x -13,682,845 = 13,682,845
Notice both answers equal 13,682,845

With that explanation out of the way, let's continue. Next, we take the number 13,682,845 and divide it by 2:

13,682,845 ÷ 2 = 6,841,422.5

If the quotient is a whole number, then 2 and 6,841,422.5 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 13,682,845
-1 -13,682,845

Now, we try dividing 13,682,845 by 3:

13,682,845 ÷ 3 = 4,560,948.3333

If the quotient is a whole number, then 3 and 4,560,948.3333 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 13,682,845
-1 -13,682,845

Let's try dividing by 4:

13,682,845 ÷ 4 = 3,420,711.25

If the quotient is a whole number, then 4 and 3,420,711.25 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 13,682,845
-1 13,682,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151155248,7791,243,8952,736,56913,682,845
-1-5-11-55-248,779-1,243,895-2,736,569-13,682,845

More Examples

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