Q: What are the factor combinations of the number 1,039,333?

 A:
Positive:   1 x 1039333151 x 6883
Negative: -1 x -1039333-151 x -6883


How do I find the factor combinations of the number 1,039,333?

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 1,039,333, 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 1,039,333
-1 -1,039,333

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 1,039,333.

Example:
1 x 1,039,333 = 1,039,333
and
-1 x -1,039,333 = 1,039,333
Notice both answers equal 1,039,333

With that explanation out of the way, let's continue. Next, we take the number 1,039,333 and divide it by 2:

1,039,333 ÷ 2 = 519,666.5

If the quotient is a whole number, then 2 and 519,666.5 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 1,039,333
-1 -1,039,333

Now, we try dividing 1,039,333 by 3:

1,039,333 ÷ 3 = 346,444.3333

If the quotient is a whole number, then 3 and 346,444.3333 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 1,039,333
-1 -1,039,333

Let's try dividing by 4:

1,039,333 ÷ 4 = 259,833.25

If the quotient is a whole number, then 4 and 259,833.25 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 1,039,333
-1 1,039,333
Keep dividing by the next highest number until you cannot divide anymore.

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

11516,8831,039,333
-1-151-6,883-1,039,333

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,039,333:


Ask a Question