Q: What are the factor combinations of the number 12,665,825?

 A:
Positive:   1 x 126658255 x 253316525 x 50663331 x 40857559 x 214675155 x 81715277 x 45725295 x 42935775 x 163431385 x 91451475 x 85871829 x 6925
Negative: -1 x -12665825-5 x -2533165-25 x -506633-31 x -408575-59 x -214675-155 x -81715-277 x -45725-295 x -42935-775 x -16343-1385 x -9145-1475 x -8587-1829 x -6925


How do I find the factor combinations of the number 12,665,825?

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 12,665,825, 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 12,665,825
-1 -12,665,825

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 12,665,825.

Example:
1 x 12,665,825 = 12,665,825
and
-1 x -12,665,825 = 12,665,825
Notice both answers equal 12,665,825

With that explanation out of the way, let's continue. Next, we take the number 12,665,825 and divide it by 2:

12,665,825 ÷ 2 = 6,332,912.5

If the quotient is a whole number, then 2 and 6,332,912.5 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 12,665,825
-1 -12,665,825

Now, we try dividing 12,665,825 by 3:

12,665,825 ÷ 3 = 4,221,941.6667

If the quotient is a whole number, then 3 and 4,221,941.6667 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 12,665,825
-1 -12,665,825

Let's try dividing by 4:

12,665,825 ÷ 4 = 3,166,456.25

If the quotient is a whole number, then 4 and 3,166,456.25 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 12,665,825
-1 12,665,825
Keep dividing by the next highest number until you cannot divide anymore.

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

152531591552772957751,3851,4751,8296,9258,5879,14516,34342,93545,72581,715214,675408,575506,6332,533,16512,665,825
-1-5-25-31-59-155-277-295-775-1,385-1,475-1,829-6,925-8,587-9,145-16,343-42,935-45,725-81,715-214,675-408,575-506,633-2,533,165-12,665,825

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