Q: What are the factor combinations of the number 809,725?

 A:
Positive:   1 x 8097255 x 1619457 x 11567525 x 3238935 x 2313549 x 16525175 x 4627245 x 3305661 x 1225
Negative: -1 x -809725-5 x -161945-7 x -115675-25 x -32389-35 x -23135-49 x -16525-175 x -4627-245 x -3305-661 x -1225


How do I find the factor combinations of the number 809,725?

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 809,725, 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.

1 809,725
-1 -809,725

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 809,725.

Example:
1 x 809,725 = 809,725
and
-1 x -809,725 = 809,725
Notice both answers equal 809,725

With that explanation out of the way, let's continue. Next, we take the number 809,725 and divide it by 2:

809,725 ÷ 2 = 404,862.5

If the quotient is a whole number, then 2 and 404,862.5 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:

1 809,725
-1 -809,725

Now, we try dividing 809,725 by 3:

809,725 ÷ 3 = 269,908.3333

If the quotient is a whole number, then 3 and 269,908.3333 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:

1 809,725
-1 -809,725

Let's try dividing by 4:

809,725 ÷ 4 = 202,431.25

If the quotient is a whole number, then 4 and 202,431.25 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:

1 809,725
-1 809,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752456611,2253,3054,62716,52523,13532,389115,675161,945809,725
-1-5-7-25-35-49-175-245-661-1,225-3,305-4,627-16,525-23,135-32,389-115,675-161,945-809,725

More Examples

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