Q: What are the factor combinations of the number 12,840,685?

 A:
Positive:   1 x 128406855 x 256813711 x 116733513 x 98774555 x 23346765 x 197549143 x 89795715 x 17959
Negative: -1 x -12840685-5 x -2568137-11 x -1167335-13 x -987745-55 x -233467-65 x -197549-143 x -89795-715 x -17959


How do I find the factor combinations of the number 12,840,685?

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 12,840,685, 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 12,840,685
-1 -12,840,685

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 12,840,685.

Example:
1 x 12,840,685 = 12,840,685
and
-1 x -12,840,685 = 12,840,685
Notice both answers equal 12,840,685

With that explanation out of the way, let's continue. Next, we take the number 12,840,685 and divide it by 2:

12,840,685 ÷ 2 = 6,420,342.5

If the quotient is a whole number, then 2 and 6,420,342.5 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 12,840,685
-1 -12,840,685

Now, we try dividing 12,840,685 by 3:

12,840,685 ÷ 3 = 4,280,228.3333

If the quotient is a whole number, then 3 and 4,280,228.3333 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 12,840,685
-1 -12,840,685

Let's try dividing by 4:

12,840,685 ÷ 4 = 3,210,171.25

If the quotient is a whole number, then 4 and 3,210,171.25 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 12,840,685
-1 12,840,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371517,95989,795197,549233,467987,7451,167,3352,568,13712,840,685
-1-5-11-13-55-65-143-715-17,959-89,795-197,549-233,467-987,745-1,167,335-2,568,137-12,840,685

More Examples

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