Q: What are the factor combinations of the number 12,354,245?

 A:
Positive:   1 x 123542455 x 2470849421 x 293452105 x 5869
Negative: -1 x -12354245-5 x -2470849-421 x -29345-2105 x -5869


How do I find the factor combinations of the number 12,354,245?

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 12,354,245, 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 12,354,245
-1 -12,354,245

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 12,354,245.

Example:
1 x 12,354,245 = 12,354,245
and
-1 x -12,354,245 = 12,354,245
Notice both answers equal 12,354,245

With that explanation out of the way, let's continue. Next, we take the number 12,354,245 and divide it by 2:

12,354,245 ÷ 2 = 6,177,122.5

If the quotient is a whole number, then 2 and 6,177,122.5 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 12,354,245
-1 -12,354,245

Now, we try dividing 12,354,245 by 3:

12,354,245 ÷ 3 = 4,118,081.6667

If the quotient is a whole number, then 3 and 4,118,081.6667 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 12,354,245
-1 -12,354,245

Let's try dividing by 4:

12,354,245 ÷ 4 = 3,088,561.25

If the quotient is a whole number, then 4 and 3,088,561.25 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 12,354,245
-1 12,354,245
Keep dividing by the next highest number until you cannot divide anymore.

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

154212,1055,86929,3452,470,84912,354,245
-1-5-421-2,105-5,869-29,345-2,470,849-12,354,245

More Examples

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