Q: What are the factor combinations of the number 12,231,499?

 A:
Positive:   1 x 122314997 x 174735753 x 230783371 x 32969
Negative: -1 x -12231499-7 x -1747357-53 x -230783-371 x -32969


How do I find the factor combinations of the number 12,231,499?

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 12,231,499, 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 12,231,499
-1 -12,231,499

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 12,231,499.

Example:
1 x 12,231,499 = 12,231,499
and
-1 x -12,231,499 = 12,231,499
Notice both answers equal 12,231,499

With that explanation out of the way, let's continue. Next, we take the number 12,231,499 and divide it by 2:

12,231,499 ÷ 2 = 6,115,749.5

If the quotient is a whole number, then 2 and 6,115,749.5 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 12,231,499
-1 -12,231,499

Now, we try dividing 12,231,499 by 3:

12,231,499 ÷ 3 = 4,077,166.3333

If the quotient is a whole number, then 3 and 4,077,166.3333 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 12,231,499
-1 -12,231,499

Let's try dividing by 4:

12,231,499 ÷ 4 = 3,057,874.75

If the quotient is a whole number, then 4 and 3,057,874.75 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 12,231,499
-1 12,231,499
Keep dividing by the next highest number until you cannot divide anymore.

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

175337132,969230,7831,747,35712,231,499
-1-7-53-371-32,969-230,783-1,747,357-12,231,499

More Examples

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