Q: What are the factor combinations of the number 800,335?

 A:
Positive:   1 x 8003355 x 16006759 x 13565295 x 2713
Negative: -1 x -800335-5 x -160067-59 x -13565-295 x -2713


How do I find the factor combinations of the number 800,335?

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 800,335, 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.

1 800,335
-1 -800,335

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 800,335.

Example:
1 x 800,335 = 800,335
and
-1 x -800,335 = 800,335
Notice both answers equal 800,335

With that explanation out of the way, let's continue. Next, we take the number 800,335 and divide it by 2:

800,335 ÷ 2 = 400,167.5

If the quotient is a whole number, then 2 and 400,167.5 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:

1 800,335
-1 -800,335

Now, we try dividing 800,335 by 3:

800,335 ÷ 3 = 266,778.3333

If the quotient is a whole number, then 3 and 266,778.3333 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:

1 800,335
-1 -800,335

Let's try dividing by 4:

800,335 ÷ 4 = 200,083.75

If the quotient is a whole number, then 4 and 200,083.75 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:

1 800,335
-1 800,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15592952,71313,565160,067800,335
-1-5-59-295-2,713-13,565-160,067-800,335

More Examples

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