Q: What are the factor combinations of the number 807,853?

 A:
Positive:   1 x 80785329 x 2785789 x 9077313 x 2581
Negative: -1 x -807853-29 x -27857-89 x -9077-313 x -2581


How do I find the factor combinations of the number 807,853?

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 807,853, 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.

1 807,853
-1 -807,853

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 807,853.

Example:
1 x 807,853 = 807,853
and
-1 x -807,853 = 807,853
Notice both answers equal 807,853

With that explanation out of the way, let's continue. Next, we take the number 807,853 and divide it by 2:

807,853 ÷ 2 = 403,926.5

If the quotient is a whole number, then 2 and 403,926.5 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:

1 807,853
-1 -807,853

Now, we try dividing 807,853 by 3:

807,853 ÷ 3 = 269,284.3333

If the quotient is a whole number, then 3 and 269,284.3333 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:

1 807,853
-1 -807,853

Let's try dividing by 4:

807,853 ÷ 4 = 201,963.25

If the quotient is a whole number, then 4 and 201,963.25 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:

1 807,853
-1 807,853
Keep dividing by the next highest number until you cannot divide anymore.

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

129893132,5819,07727,857807,853
-1-29-89-313-2,581-9,077-27,857-807,853

More Examples

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