Q: What are the factor combinations of the number 1,231,165?

 A:
Positive:   1 x 12311655 x 24623313 x 9470531 x 3971547 x 2619565 x 18941155 x 7943169 x 7285235 x 5239403 x 3055611 x 2015845 x 1457
Negative: -1 x -1231165-5 x -246233-13 x -94705-31 x -39715-47 x -26195-65 x -18941-155 x -7943-169 x -7285-235 x -5239-403 x -3055-611 x -2015-845 x -1457


How do I find the factor combinations of the number 1,231,165?

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 1,231,165, 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 1,231,165
-1 -1,231,165

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 1,231,165.

Example:
1 x 1,231,165 = 1,231,165
and
-1 x -1,231,165 = 1,231,165
Notice both answers equal 1,231,165

With that explanation out of the way, let's continue. Next, we take the number 1,231,165 and divide it by 2:

1,231,165 ÷ 2 = 615,582.5

If the quotient is a whole number, then 2 and 615,582.5 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 1,231,165
-1 -1,231,165

Now, we try dividing 1,231,165 by 3:

1,231,165 ÷ 3 = 410,388.3333

If the quotient is a whole number, then 3 and 410,388.3333 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 1,231,165
-1 -1,231,165

Let's try dividing by 4:

1,231,165 ÷ 4 = 307,791.25

If the quotient is a whole number, then 4 and 307,791.25 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 1,231,165
-1 1,231,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15133147651551692354036118451,4572,0153,0555,2397,2857,94318,94126,19539,71594,705246,2331,231,165
-1-5-13-31-47-65-155-169-235-403-611-845-1,457-2,015-3,055-5,239-7,285-7,943-18,941-26,195-39,715-94,705-246,233-1,231,165

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