Q: What are the factor combinations of the number 12,320,665?

 A:
Positive:   1 x 123206655 x 24641337 x 176009517 x 72474535 x 35201985 x 144949119 x 103535595 x 20707
Negative: -1 x -12320665-5 x -2464133-7 x -1760095-17 x -724745-35 x -352019-85 x -144949-119 x -103535-595 x -20707


How do I find the factor combinations of the number 12,320,665?

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 12,320,665, 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 12,320,665
-1 -12,320,665

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 12,320,665.

Example:
1 x 12,320,665 = 12,320,665
and
-1 x -12,320,665 = 12,320,665
Notice both answers equal 12,320,665

With that explanation out of the way, let's continue. Next, we take the number 12,320,665 and divide it by 2:

12,320,665 ÷ 2 = 6,160,332.5

If the quotient is a whole number, then 2 and 6,160,332.5 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 12,320,665
-1 -12,320,665

Now, we try dividing 12,320,665 by 3:

12,320,665 ÷ 3 = 4,106,888.3333

If the quotient is a whole number, then 3 and 4,106,888.3333 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 12,320,665
-1 -12,320,665

Let's try dividing by 4:

12,320,665 ÷ 4 = 3,080,166.25

If the quotient is a whole number, then 4 and 3,080,166.25 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 12,320,665
-1 12,320,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959520,707103,535144,949352,019724,7451,760,0952,464,13312,320,665
-1-5-7-17-35-85-119-595-20,707-103,535-144,949-352,019-724,745-1,760,095-2,464,133-12,320,665

More Examples

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