Q: What are the factor combinations of the number 12,463,507?

 A:
Positive:   1 x 124635077 x 178050143 x 28984947 x 265181301 x 41407329 x 37883881 x 141472021 x 6167
Negative: -1 x -12463507-7 x -1780501-43 x -289849-47 x -265181-301 x -41407-329 x -37883-881 x -14147-2021 x -6167


How do I find the factor combinations of the number 12,463,507?

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 12,463,507, 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 12,463,507
-1 -12,463,507

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 12,463,507.

Example:
1 x 12,463,507 = 12,463,507
and
-1 x -12,463,507 = 12,463,507
Notice both answers equal 12,463,507

With that explanation out of the way, let's continue. Next, we take the number 12,463,507 and divide it by 2:

12,463,507 ÷ 2 = 6,231,753.5

If the quotient is a whole number, then 2 and 6,231,753.5 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 12,463,507
-1 -12,463,507

Now, we try dividing 12,463,507 by 3:

12,463,507 ÷ 3 = 4,154,502.3333

If the quotient is a whole number, then 3 and 4,154,502.3333 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 12,463,507
-1 -12,463,507

Let's try dividing by 4:

12,463,507 ÷ 4 = 3,115,876.75

If the quotient is a whole number, then 4 and 3,115,876.75 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 12,463,507
-1 12,463,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1743473013298812,0216,16714,14737,88341,407265,181289,8491,780,50112,463,507
-1-7-43-47-301-329-881-2,021-6,167-14,147-37,883-41,407-265,181-289,849-1,780,501-12,463,507

More Examples

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