Q: What are the factor combinations of the number 880,739?

 A:
Positive:   1 x 88073923 x 38293149 x 5911257 x 3427
Negative: -1 x -880739-23 x -38293-149 x -5911-257 x -3427


How do I find the factor combinations of the number 880,739?

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 880,739, 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.

1 880,739
-1 -880,739

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 880,739.

Example:
1 x 880,739 = 880,739
and
-1 x -880,739 = 880,739
Notice both answers equal 880,739

With that explanation out of the way, let's continue. Next, we take the number 880,739 and divide it by 2:

880,739 ÷ 2 = 440,369.5

If the quotient is a whole number, then 2 and 440,369.5 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:

1 880,739
-1 -880,739

Now, we try dividing 880,739 by 3:

880,739 ÷ 3 = 293,579.6667

If the quotient is a whole number, then 3 and 293,579.6667 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:

1 880,739
-1 -880,739

Let's try dividing by 4:

880,739 ÷ 4 = 220,184.75

If the quotient is a whole number, then 4 and 220,184.75 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:

1 880,739
-1 880,739
Keep dividing by the next highest number until you cannot divide anymore.

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

1231492573,4275,91138,293880,739
-1-23-149-257-3,427-5,911-38,293-880,739

More Examples

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