Q: What are the factor combinations of the number 1,989,793?

 A:
Positive:   1 x 198979313 x 153061269 x 7397569 x 3497
Negative: -1 x -1989793-13 x -153061-269 x -7397-569 x -3497


How do I find the factor combinations of the number 1,989,793?

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 1,989,793, 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 1,989,793
-1 -1,989,793

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 1,989,793.

Example:
1 x 1,989,793 = 1,989,793
and
-1 x -1,989,793 = 1,989,793
Notice both answers equal 1,989,793

With that explanation out of the way, let's continue. Next, we take the number 1,989,793 and divide it by 2:

1,989,793 ÷ 2 = 994,896.5

If the quotient is a whole number, then 2 and 994,896.5 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 1,989,793
-1 -1,989,793

Now, we try dividing 1,989,793 by 3:

1,989,793 ÷ 3 = 663,264.3333

If the quotient is a whole number, then 3 and 663,264.3333 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 1,989,793
-1 -1,989,793

Let's try dividing by 4:

1,989,793 ÷ 4 = 497,448.25

If the quotient is a whole number, then 4 and 497,448.25 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 1,989,793
-1 1,989,793
Keep dividing by the next highest number until you cannot divide anymore.

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

1132695693,4977,397153,0611,989,793
-1-13-269-569-3,497-7,397-153,061-1,989,793

More Examples

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