Q: What are the factor combinations of the number 1,808,989?

 A:
Positive:   1 x 18089897 x 25842713 x 13915391 x 19879103 x 17563193 x 9373721 x 25091339 x 1351
Negative: -1 x -1808989-7 x -258427-13 x -139153-91 x -19879-103 x -17563-193 x -9373-721 x -2509-1339 x -1351


How do I find the factor combinations of the number 1,808,989?

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 1,808,989, 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 1,808,989
-1 -1,808,989

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 1,808,989.

Example:
1 x 1,808,989 = 1,808,989
and
-1 x -1,808,989 = 1,808,989
Notice both answers equal 1,808,989

With that explanation out of the way, let's continue. Next, we take the number 1,808,989 and divide it by 2:

1,808,989 ÷ 2 = 904,494.5

If the quotient is a whole number, then 2 and 904,494.5 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 1,808,989
-1 -1,808,989

Now, we try dividing 1,808,989 by 3:

1,808,989 ÷ 3 = 602,996.3333

If the quotient is a whole number, then 3 and 602,996.3333 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 1,808,989
-1 -1,808,989

Let's try dividing by 4:

1,808,989 ÷ 4 = 452,247.25

If the quotient is a whole number, then 4 and 452,247.25 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 1,808,989
-1 1,808,989
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911031937211,3391,3512,5099,37317,56319,879139,153258,4271,808,989
-1-7-13-91-103-193-721-1,339-1,351-2,509-9,373-17,563-19,879-139,153-258,427-1,808,989

More Examples

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