Q: What are the factor combinations of the number 808,841?

 A:
Positive:   1 x 80884111 x 7353123 x 35167139 x 5819253 x 3197529 x 1529
Negative: -1 x -808841-11 x -73531-23 x -35167-139 x -5819-253 x -3197-529 x -1529


How do I find the factor combinations of the number 808,841?

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 808,841, 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.

1 808,841
-1 -808,841

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 808,841.

Example:
1 x 808,841 = 808,841
and
-1 x -808,841 = 808,841
Notice both answers equal 808,841

With that explanation out of the way, let's continue. Next, we take the number 808,841 and divide it by 2:

808,841 ÷ 2 = 404,420.5

If the quotient is a whole number, then 2 and 404,420.5 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:

1 808,841
-1 -808,841

Now, we try dividing 808,841 by 3:

808,841 ÷ 3 = 269,613.6667

If the quotient is a whole number, then 3 and 269,613.6667 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:

1 808,841
-1 -808,841

Let's try dividing by 4:

808,841 ÷ 4 = 202,210.25

If the quotient is a whole number, then 4 and 202,210.25 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:

1 808,841
-1 808,841
Keep dividing by the next highest number until you cannot divide anymore.

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

111231392535291,5293,1975,81935,16773,531808,841
-1-11-23-139-253-529-1,529-3,197-5,819-35,167-73,531-808,841

More Examples

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