Q: What are the factor combinations of the number 12,645,455?

 A:
Positive:   1 x 126454555 x 252909171 x 178105179 x 70645199 x 63545355 x 35621895 x 14129995 x 12709
Negative: -1 x -12645455-5 x -2529091-71 x -178105-179 x -70645-199 x -63545-355 x -35621-895 x -14129-995 x -12709


How do I find the factor combinations of the number 12,645,455?

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 12,645,455, 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 12,645,455
-1 -12,645,455

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 12,645,455.

Example:
1 x 12,645,455 = 12,645,455
and
-1 x -12,645,455 = 12,645,455
Notice both answers equal 12,645,455

With that explanation out of the way, let's continue. Next, we take the number 12,645,455 and divide it by 2:

12,645,455 ÷ 2 = 6,322,727.5

If the quotient is a whole number, then 2 and 6,322,727.5 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 12,645,455
-1 -12,645,455

Now, we try dividing 12,645,455 by 3:

12,645,455 ÷ 3 = 4,215,151.6667

If the quotient is a whole number, then 3 and 4,215,151.6667 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 12,645,455
-1 -12,645,455

Let's try dividing by 4:

12,645,455 ÷ 4 = 3,161,363.75

If the quotient is a whole number, then 4 and 3,161,363.75 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 12,645,455
-1 12,645,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157117919935589599512,70914,12935,62163,54570,645178,1052,529,09112,645,455
-1-5-71-179-199-355-895-995-12,709-14,129-35,621-63,545-70,645-178,105-2,529,091-12,645,455

More Examples

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