Q: What are the factor combinations of the number 12,550,765?

 A:
Positive:   1 x 125507655 x 251015329 x 432785101 x 124265145 x 86557505 x 24853857 x 146452929 x 4285
Negative: -1 x -12550765-5 x -2510153-29 x -432785-101 x -124265-145 x -86557-505 x -24853-857 x -14645-2929 x -4285


How do I find the factor combinations of the number 12,550,765?

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 12,550,765, 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 12,550,765
-1 -12,550,765

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 12,550,765.

Example:
1 x 12,550,765 = 12,550,765
and
-1 x -12,550,765 = 12,550,765
Notice both answers equal 12,550,765

With that explanation out of the way, let's continue. Next, we take the number 12,550,765 and divide it by 2:

12,550,765 ÷ 2 = 6,275,382.5

If the quotient is a whole number, then 2 and 6,275,382.5 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 12,550,765
-1 -12,550,765

Now, we try dividing 12,550,765 by 3:

12,550,765 ÷ 3 = 4,183,588.3333

If the quotient is a whole number, then 3 and 4,183,588.3333 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 12,550,765
-1 -12,550,765

Let's try dividing by 4:

12,550,765 ÷ 4 = 3,137,691.25

If the quotient is a whole number, then 4 and 3,137,691.25 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 12,550,765
-1 12,550,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15291011455058572,9294,28514,64524,85386,557124,265432,7852,510,15312,550,765
-1-5-29-101-145-505-857-2,929-4,285-14,645-24,853-86,557-124,265-432,785-2,510,153-12,550,765

More Examples

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