Q: What are the factor combinations of the number 12,324,325?

 A:
Positive:   1 x 123243255 x 246486513 x 94802525 x 49297365 x 189605169 x 72925325 x 37921845 x 145852917 x 4225
Negative: -1 x -12324325-5 x -2464865-13 x -948025-25 x -492973-65 x -189605-169 x -72925-325 x -37921-845 x -14585-2917 x -4225


How do I find the factor combinations of the number 12,324,325?

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 12,324,325, 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 12,324,325
-1 -12,324,325

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 12,324,325.

Example:
1 x 12,324,325 = 12,324,325
and
-1 x -12,324,325 = 12,324,325
Notice both answers equal 12,324,325

With that explanation out of the way, let's continue. Next, we take the number 12,324,325 and divide it by 2:

12,324,325 ÷ 2 = 6,162,162.5

If the quotient is a whole number, then 2 and 6,162,162.5 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 12,324,325
-1 -12,324,325

Now, we try dividing 12,324,325 by 3:

12,324,325 ÷ 3 = 4,108,108.3333

If the quotient is a whole number, then 3 and 4,108,108.3333 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 12,324,325
-1 -12,324,325

Let's try dividing by 4:

12,324,325 ÷ 4 = 3,081,081.25

If the quotient is a whole number, then 4 and 3,081,081.25 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 12,324,325
-1 12,324,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258452,9174,22514,58537,92172,925189,605492,973948,0252,464,86512,324,325
-1-5-13-25-65-169-325-845-2,917-4,225-14,585-37,921-72,925-189,605-492,973-948,025-2,464,865-12,324,325

More Examples

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