Q: What are the factor combinations of the number 12,323,215?

 A:
Positive:   1 x 123232155 x 246464317 x 72489585 x 144979113 x 109055565 x 218111283 x 96051921 x 6415
Negative: -1 x -12323215-5 x -2464643-17 x -724895-85 x -144979-113 x -109055-565 x -21811-1283 x -9605-1921 x -6415


How do I find the factor combinations of the number 12,323,215?

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 12,323,215, 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 12,323,215
-1 -12,323,215

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 12,323,215.

Example:
1 x 12,323,215 = 12,323,215
and
-1 x -12,323,215 = 12,323,215
Notice both answers equal 12,323,215

With that explanation out of the way, let's continue. Next, we take the number 12,323,215 and divide it by 2:

12,323,215 ÷ 2 = 6,161,607.5

If the quotient is a whole number, then 2 and 6,161,607.5 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 12,323,215
-1 -12,323,215

Now, we try dividing 12,323,215 by 3:

12,323,215 ÷ 3 = 4,107,738.3333

If the quotient is a whole number, then 3 and 4,107,738.3333 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 12,323,215
-1 -12,323,215

Let's try dividing by 4:

12,323,215 ÷ 4 = 3,080,803.75

If the quotient is a whole number, then 4 and 3,080,803.75 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 12,323,215
-1 12,323,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851135651,2831,9216,4159,60521,811109,055144,979724,8952,464,64312,323,215
-1-5-17-85-113-565-1,283-1,921-6,415-9,605-21,811-109,055-144,979-724,895-2,464,643-12,323,215

More Examples

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