Q: What are the factor combinations of the number 1,322,243?

 A:
Positive:   1 x 132224313 x 10171117 x 7777931 x 42653193 x 6851221 x 5983403 x 3281527 x 2509
Negative: -1 x -1322243-13 x -101711-17 x -77779-31 x -42653-193 x -6851-221 x -5983-403 x -3281-527 x -2509


How do I find the factor combinations of the number 1,322,243?

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 1,322,243, 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 1,322,243
-1 -1,322,243

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 1,322,243.

Example:
1 x 1,322,243 = 1,322,243
and
-1 x -1,322,243 = 1,322,243
Notice both answers equal 1,322,243

With that explanation out of the way, let's continue. Next, we take the number 1,322,243 and divide it by 2:

1,322,243 ÷ 2 = 661,121.5

If the quotient is a whole number, then 2 and 661,121.5 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 1,322,243
-1 -1,322,243

Now, we try dividing 1,322,243 by 3:

1,322,243 ÷ 3 = 440,747.6667

If the quotient is a whole number, then 3 and 440,747.6667 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 1,322,243
-1 -1,322,243

Let's try dividing by 4:

1,322,243 ÷ 4 = 330,560.75

If the quotient is a whole number, then 4 and 330,560.75 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 1,322,243
-1 1,322,243
Keep dividing by the next highest number until you cannot divide anymore.

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

11317311932214035272,5093,2815,9836,85142,65377,779101,7111,322,243
-1-13-17-31-193-221-403-527-2,509-3,281-5,983-6,851-42,653-77,779-101,711-1,322,243

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,322,243:


Ask a Question