Q: What are the factor combinations of the number 1,989,799?

 A:
Positive:   1 x 19897997 x 28425717 x 11704723 x 86513119 x 16721161 x 12359391 x 5089727 x 2737
Negative: -1 x -1989799-7 x -284257-17 x -117047-23 x -86513-119 x -16721-161 x -12359-391 x -5089-727 x -2737


How do I find the factor combinations of the number 1,989,799?

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 1,989,799, 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 1,989,799
-1 -1,989,799

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 1,989,799.

Example:
1 x 1,989,799 = 1,989,799
and
-1 x -1,989,799 = 1,989,799
Notice both answers equal 1,989,799

With that explanation out of the way, let's continue. Next, we take the number 1,989,799 and divide it by 2:

1,989,799 ÷ 2 = 994,899.5

If the quotient is a whole number, then 2 and 994,899.5 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 1,989,799
-1 -1,989,799

Now, we try dividing 1,989,799 by 3:

1,989,799 ÷ 3 = 663,266.3333

If the quotient is a whole number, then 3 and 663,266.3333 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 1,989,799
-1 -1,989,799

Let's try dividing by 4:

1,989,799 ÷ 4 = 497,449.75

If the quotient is a whole number, then 4 and 497,449.75 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 1,989,799
-1 1,989,799
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613917272,7375,08912,35916,72186,513117,047284,2571,989,799
-1-7-17-23-119-161-391-727-2,737-5,089-12,359-16,721-86,513-117,047-284,257-1,989,799

More Examples

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