Q: What are the factor combinations of the number 5,560,825?

 A:
Positive:   1 x 55608255 x 111216519 x 29267523 x 24177525 x 22243395 x 58535115 x 48355437 x 12725475 x 11707509 x 10925575 x 96712185 x 2545
Negative: -1 x -5560825-5 x -1112165-19 x -292675-23 x -241775-25 x -222433-95 x -58535-115 x -48355-437 x -12725-475 x -11707-509 x -10925-575 x -9671-2185 x -2545


How do I find the factor combinations of the number 5,560,825?

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 5,560,825, 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 5,560,825
-1 -5,560,825

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 5,560,825.

Example:
1 x 5,560,825 = 5,560,825
and
-1 x -5,560,825 = 5,560,825
Notice both answers equal 5,560,825

With that explanation out of the way, let's continue. Next, we take the number 5,560,825 and divide it by 2:

5,560,825 ÷ 2 = 2,780,412.5

If the quotient is a whole number, then 2 and 2,780,412.5 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 5,560,825
-1 -5,560,825

Now, we try dividing 5,560,825 by 3:

5,560,825 ÷ 3 = 1,853,608.3333

If the quotient is a whole number, then 3 and 1,853,608.3333 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 5,560,825
-1 -5,560,825

Let's try dividing by 4:

5,560,825 ÷ 4 = 1,390,206.25

If the quotient is a whole number, then 4 and 1,390,206.25 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 5,560,825
-1 5,560,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15192325951154374755095752,1852,5459,67110,92511,70712,72548,35558,535222,433241,775292,6751,112,1655,560,825
-1-5-19-23-25-95-115-437-475-509-575-2,185-2,545-9,671-10,925-11,707-12,725-48,355-58,535-222,433-241,775-292,675-1,112,165-5,560,825

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