Q: What are the factor combinations of the number 888,853?

 A:
Positive:   1 x 8888537 x 12697943 x 20671301 x 2953
Negative: -1 x -888853-7 x -126979-43 x -20671-301 x -2953


How do I find the factor combinations of the number 888,853?

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 888,853, 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.

1 888,853
-1 -888,853

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 888,853.

Example:
1 x 888,853 = 888,853
and
-1 x -888,853 = 888,853
Notice both answers equal 888,853

With that explanation out of the way, let's continue. Next, we take the number 888,853 and divide it by 2:

888,853 ÷ 2 = 444,426.5

If the quotient is a whole number, then 2 and 444,426.5 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:

1 888,853
-1 -888,853

Now, we try dividing 888,853 by 3:

888,853 ÷ 3 = 296,284.3333

If the quotient is a whole number, then 3 and 296,284.3333 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:

1 888,853
-1 -888,853

Let's try dividing by 4:

888,853 ÷ 4 = 222,213.25

If the quotient is a whole number, then 4 and 222,213.25 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:

1 888,853
-1 888,853
Keep dividing by the next highest number until you cannot divide anymore.

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

17433012,95320,671126,979888,853
-1-7-43-301-2,953-20,671-126,979-888,853

More Examples

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