Q: What are the factor combinations of the number 1,231,285?

 A:
Positive:   1 x 12312855 x 24625711 x 11193555 x 2238761 x 20185305 x 4037367 x 3355671 x 1835
Negative: -1 x -1231285-5 x -246257-11 x -111935-55 x -22387-61 x -20185-305 x -4037-367 x -3355-671 x -1835


How do I find the factor combinations of the number 1,231,285?

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 1,231,285, 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 1,231,285
-1 -1,231,285

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 1,231,285.

Example:
1 x 1,231,285 = 1,231,285
and
-1 x -1,231,285 = 1,231,285
Notice both answers equal 1,231,285

With that explanation out of the way, let's continue. Next, we take the number 1,231,285 and divide it by 2:

1,231,285 ÷ 2 = 615,642.5

If the quotient is a whole number, then 2 and 615,642.5 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 1,231,285
-1 -1,231,285

Now, we try dividing 1,231,285 by 3:

1,231,285 ÷ 3 = 410,428.3333

If the quotient is a whole number, then 3 and 410,428.3333 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 1,231,285
-1 -1,231,285

Let's try dividing by 4:

1,231,285 ÷ 4 = 307,821.25

If the quotient is a whole number, then 4 and 307,821.25 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 1,231,285
-1 1,231,285
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613053676711,8353,3554,03720,18522,387111,935246,2571,231,285
-1-5-11-55-61-305-367-671-1,835-3,355-4,037-20,185-22,387-111,935-246,257-1,231,285

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,231,285:


Ask a Question