Q: What are the factor combinations of the number 1,988,483?

 A:
Positive:   1 x 19884837 x 28406919 x 104657133 x 14951
Negative: -1 x -1988483-7 x -284069-19 x -104657-133 x -14951


How do I find the factor combinations of the number 1,988,483?

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 1,988,483, 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 1,988,483
-1 -1,988,483

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 1,988,483.

Example:
1 x 1,988,483 = 1,988,483
and
-1 x -1,988,483 = 1,988,483
Notice both answers equal 1,988,483

With that explanation out of the way, let's continue. Next, we take the number 1,988,483 and divide it by 2:

1,988,483 ÷ 2 = 994,241.5

If the quotient is a whole number, then 2 and 994,241.5 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 1,988,483
-1 -1,988,483

Now, we try dividing 1,988,483 by 3:

1,988,483 ÷ 3 = 662,827.6667

If the quotient is a whole number, then 3 and 662,827.6667 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 1,988,483
-1 -1,988,483

Let's try dividing by 4:

1,988,483 ÷ 4 = 497,120.75

If the quotient is a whole number, then 4 and 497,120.75 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 1,988,483
-1 1,988,483
Keep dividing by the next highest number until you cannot divide anymore.

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

171913314,951104,657284,0691,988,483
-1-7-19-133-14,951-104,657-284,069-1,988,483

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,988,483:


Ask a Question