Q: What are the factor combinations of the number 839,755?

 A:
Positive:   1 x 8397555 x 1679517 x 11996535 x 23993
Negative: -1 x -839755-5 x -167951-7 x -119965-35 x -23993


How do I find the factor combinations of the number 839,755?

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 839,755, 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.

1 839,755
-1 -839,755

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 839,755.

Example:
1 x 839,755 = 839,755
and
-1 x -839,755 = 839,755
Notice both answers equal 839,755

With that explanation out of the way, let's continue. Next, we take the number 839,755 and divide it by 2:

839,755 ÷ 2 = 419,877.5

If the quotient is a whole number, then 2 and 419,877.5 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:

1 839,755
-1 -839,755

Now, we try dividing 839,755 by 3:

839,755 ÷ 3 = 279,918.3333

If the quotient is a whole number, then 3 and 279,918.3333 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:

1 839,755
-1 -839,755

Let's try dividing by 4:

839,755 ÷ 4 = 209,938.75

If the quotient is a whole number, then 4 and 209,938.75 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:

1 839,755
-1 839,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1573523,993119,965167,951839,755
-1-5-7-35-23,993-119,965-167,951-839,755

More Examples

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