Q: What are the factor combinations of the number 1,320,781?

 A:
Positive:   1 x 13207817 x 18868311 x 12007117 x 7769377 x 17153119 x 11099187 x 70631009 x 1309
Negative: -1 x -1320781-7 x -188683-11 x -120071-17 x -77693-77 x -17153-119 x -11099-187 x -7063-1009 x -1309


How do I find the factor combinations of the number 1,320,781?

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 1,320,781, 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 1,320,781
-1 -1,320,781

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 1,320,781.

Example:
1 x 1,320,781 = 1,320,781
and
-1 x -1,320,781 = 1,320,781
Notice both answers equal 1,320,781

With that explanation out of the way, let's continue. Next, we take the number 1,320,781 and divide it by 2:

1,320,781 ÷ 2 = 660,390.5

If the quotient is a whole number, then 2 and 660,390.5 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 1,320,781
-1 -1,320,781

Now, we try dividing 1,320,781 by 3:

1,320,781 ÷ 3 = 440,260.3333

If the quotient is a whole number, then 3 and 440,260.3333 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 1,320,781
-1 -1,320,781

Let's try dividing by 4:

1,320,781 ÷ 4 = 330,195.25

If the quotient is a whole number, then 4 and 330,195.25 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 1,320,781
-1 1,320,781
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,0091,3097,06311,09917,15377,693120,071188,6831,320,781
-1-7-11-17-77-119-187-1,009-1,309-7,063-11,099-17,153-77,693-120,071-188,683-1,320,781

More Examples

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