Q: What are the factor combinations of the number 6,752,725?

 A:
Positive:   1 x 67527255 x 13505457 x 96467525 x 27010935 x 19293547 x 143675175 x 38587235 x 28735329 x 20525821 x 82251175 x 57471645 x 4105
Negative: -1 x -6752725-5 x -1350545-7 x -964675-25 x -270109-35 x -192935-47 x -143675-175 x -38587-235 x -28735-329 x -20525-821 x -8225-1175 x -5747-1645 x -4105


How do I find the factor combinations of the number 6,752,725?

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 6,752,725, 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 6,752,725
-1 -6,752,725

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 6,752,725.

Example:
1 x 6,752,725 = 6,752,725
and
-1 x -6,752,725 = 6,752,725
Notice both answers equal 6,752,725

With that explanation out of the way, let's continue. Next, we take the number 6,752,725 and divide it by 2:

6,752,725 ÷ 2 = 3,376,362.5

If the quotient is a whole number, then 2 and 3,376,362.5 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 6,752,725
-1 -6,752,725

Now, we try dividing 6,752,725 by 3:

6,752,725 ÷ 3 = 2,250,908.3333

If the quotient is a whole number, then 3 and 2,250,908.3333 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 6,752,725
-1 -6,752,725

Let's try dividing by 4:

6,752,725 ÷ 4 = 1,688,181.25

If the quotient is a whole number, then 4 and 1,688,181.25 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 6,752,725
-1 6,752,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535471752353298211,1751,6454,1055,7478,22520,52528,73538,587143,675192,935270,109964,6751,350,5456,752,725
-1-5-7-25-35-47-175-235-329-821-1,175-1,645-4,105-5,747-8,225-20,525-28,735-38,587-143,675-192,935-270,109-964,675-1,350,545-6,752,725

More Examples

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