Q: What are the factor combinations of the number 12,663,625?

 A:
Positive:   1 x 126636255 x 253272513 x 97412525 x 50654565 x 194825125 x 101309325 x 389651625 x 7793
Negative: -1 x -12663625-5 x -2532725-13 x -974125-25 x -506545-65 x -194825-125 x -101309-325 x -38965-1625 x -7793


How do I find the factor combinations of the number 12,663,625?

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 12,663,625, 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 12,663,625
-1 -12,663,625

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 12,663,625.

Example:
1 x 12,663,625 = 12,663,625
and
-1 x -12,663,625 = 12,663,625
Notice both answers equal 12,663,625

With that explanation out of the way, let's continue. Next, we take the number 12,663,625 and divide it by 2:

12,663,625 ÷ 2 = 6,331,812.5

If the quotient is a whole number, then 2 and 6,331,812.5 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 12,663,625
-1 -12,663,625

Now, we try dividing 12,663,625 by 3:

12,663,625 ÷ 3 = 4,221,208.3333

If the quotient is a whole number, then 3 and 4,221,208.3333 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 12,663,625
-1 -12,663,625

Let's try dividing by 4:

12,663,625 ÷ 4 = 3,165,906.25

If the quotient is a whole number, then 4 and 3,165,906.25 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 12,663,625
-1 12,663,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6257,79338,965101,309194,825506,545974,1252,532,72512,663,625
-1-5-13-25-65-125-325-1,625-7,793-38,965-101,309-194,825-506,545-974,125-2,532,725-12,663,625

More Examples

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