Q: What are the factor combinations of the number 12,963,629?

 A:
Positive:   1 x 129636297 x 185194767 x 193487131 x 98959211 x 61439469 x 27641917 x 141371477 x 8777
Negative: -1 x -12963629-7 x -1851947-67 x -193487-131 x -98959-211 x -61439-469 x -27641-917 x -14137-1477 x -8777


How do I find the factor combinations of the number 12,963,629?

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 12,963,629, 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 12,963,629
-1 -12,963,629

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 12,963,629.

Example:
1 x 12,963,629 = 12,963,629
and
-1 x -12,963,629 = 12,963,629
Notice both answers equal 12,963,629

With that explanation out of the way, let's continue. Next, we take the number 12,963,629 and divide it by 2:

12,963,629 ÷ 2 = 6,481,814.5

If the quotient is a whole number, then 2 and 6,481,814.5 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 12,963,629
-1 -12,963,629

Now, we try dividing 12,963,629 by 3:

12,963,629 ÷ 3 = 4,321,209.6667

If the quotient is a whole number, then 3 and 4,321,209.6667 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 12,963,629
-1 -12,963,629

Let's try dividing by 4:

12,963,629 ÷ 4 = 3,240,907.25

If the quotient is a whole number, then 4 and 3,240,907.25 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 12,963,629
-1 12,963,629
Keep dividing by the next highest number until you cannot divide anymore.

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

17671312114699171,4778,77714,13727,64161,43998,959193,4871,851,94712,963,629
-1-7-67-131-211-469-917-1,477-8,777-14,137-27,641-61,439-98,959-193,487-1,851,947-12,963,629

More Examples

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