Q: What are the factor combinations of the number 12,323,575?

 A:
Positive:   1 x 123235755 x 246471511 x 112032525 x 49294341 x 30057555 x 224065205 x 60115275 x 44813451 x 273251025 x 120231093 x 112752255 x 5465
Negative: -1 x -12323575-5 x -2464715-11 x -1120325-25 x -492943-41 x -300575-55 x -224065-205 x -60115-275 x -44813-451 x -27325-1025 x -12023-1093 x -11275-2255 x -5465


How do I find the factor combinations of the number 12,323,575?

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 12,323,575, 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 12,323,575
-1 -12,323,575

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 12,323,575.

Example:
1 x 12,323,575 = 12,323,575
and
-1 x -12,323,575 = 12,323,575
Notice both answers equal 12,323,575

With that explanation out of the way, let's continue. Next, we take the number 12,323,575 and divide it by 2:

12,323,575 ÷ 2 = 6,161,787.5

If the quotient is a whole number, then 2 and 6,161,787.5 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 12,323,575
-1 -12,323,575

Now, we try dividing 12,323,575 by 3:

12,323,575 ÷ 3 = 4,107,858.3333

If the quotient is a whole number, then 3 and 4,107,858.3333 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 12,323,575
-1 -12,323,575

Let's try dividing by 4:

12,323,575 ÷ 4 = 3,080,893.75

If the quotient is a whole number, then 4 and 3,080,893.75 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 12,323,575
-1 12,323,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15112541552052754511,0251,0932,2555,46511,27512,02327,32544,81360,115224,065300,575492,9431,120,3252,464,71512,323,575
-1-5-11-25-41-55-205-275-451-1,025-1,093-2,255-5,465-11,275-12,023-27,325-44,813-60,115-224,065-300,575-492,943-1,120,325-2,464,715-12,323,575

More Examples

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