Q: What are the factor combinations of the number 884,845?

 A:
Positive:   1 x 8848455 x 17696913 x 6806565 x 13613
Negative: -1 x -884845-5 x -176969-13 x -68065-65 x -13613


How do I find the factor combinations of the number 884,845?

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 884,845, 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.

1 884,845
-1 -884,845

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 884,845.

Example:
1 x 884,845 = 884,845
and
-1 x -884,845 = 884,845
Notice both answers equal 884,845

With that explanation out of the way, let's continue. Next, we take the number 884,845 and divide it by 2:

884,845 ÷ 2 = 442,422.5

If the quotient is a whole number, then 2 and 442,422.5 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:

1 884,845
-1 -884,845

Now, we try dividing 884,845 by 3:

884,845 ÷ 3 = 294,948.3333

If the quotient is a whole number, then 3 and 294,948.3333 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:

1 884,845
-1 -884,845

Let's try dividing by 4:

884,845 ÷ 4 = 221,211.25

If the quotient is a whole number, then 4 and 221,211.25 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:

1 884,845
-1 884,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15136513,61368,065176,969884,845
-1-5-13-65-13,613-68,065-176,969-884,845

More Examples

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