Q: What are the factor combinations of the number 988,885?

 A:
Positive:   1 x 9888855 x 19777723 x 42995115 x 8599
Negative: -1 x -988885-5 x -197777-23 x -42995-115 x -8599


How do I find the factor combinations of the number 988,885?

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 988,885, 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.

1 988,885
-1 -988,885

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 988,885.

Example:
1 x 988,885 = 988,885
and
-1 x -988,885 = 988,885
Notice both answers equal 988,885

With that explanation out of the way, let's continue. Next, we take the number 988,885 and divide it by 2:

988,885 ÷ 2 = 494,442.5

If the quotient is a whole number, then 2 and 494,442.5 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:

1 988,885
-1 -988,885

Now, we try dividing 988,885 by 3:

988,885 ÷ 3 = 329,628.3333

If the quotient is a whole number, then 3 and 329,628.3333 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:

1 988,885
-1 -988,885

Let's try dividing by 4:

988,885 ÷ 4 = 247,221.25

If the quotient is a whole number, then 4 and 247,221.25 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:

1 988,885
-1 988,885
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158,59942,995197,777988,885
-1-5-23-115-8,599-42,995-197,777-988,885

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 988,885:


Ask a Question