Q: What are the factor combinations of the number 9,831,703?

 A:
Positive:   1 x 98317037 x 140452949 x 200647283 x 34741709 x 138671981 x 4963
Negative: -1 x -9831703-7 x -1404529-49 x -200647-283 x -34741-709 x -13867-1981 x -4963


How do I find the factor combinations of the number 9,831,703?

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 9,831,703, 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 9,831,703
-1 -9,831,703

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 9,831,703.

Example:
1 x 9,831,703 = 9,831,703
and
-1 x -9,831,703 = 9,831,703
Notice both answers equal 9,831,703

With that explanation out of the way, let's continue. Next, we take the number 9,831,703 and divide it by 2:

9,831,703 ÷ 2 = 4,915,851.5

If the quotient is a whole number, then 2 and 4,915,851.5 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 9,831,703
-1 -9,831,703

Now, we try dividing 9,831,703 by 3:

9,831,703 ÷ 3 = 3,277,234.3333

If the quotient is a whole number, then 3 and 3,277,234.3333 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 9,831,703
-1 -9,831,703

Let's try dividing by 4:

9,831,703 ÷ 4 = 2,457,925.75

If the quotient is a whole number, then 4 and 2,457,925.75 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 9,831,703
-1 9,831,703
Keep dividing by the next highest number until you cannot divide anymore.

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

17492837091,9814,96313,86734,741200,6471,404,5299,831,703
-1-7-49-283-709-1,981-4,963-13,867-34,741-200,647-1,404,529-9,831,703

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,831,703:


Ask a Question