Q: What are the factor combinations of the number 12,012,065?

 A:
Positive:   1 x 120120655 x 240241313 x 92400565 x 184801181 x 66365905 x 132731021 x 117652353 x 5105
Negative: -1 x -12012065-5 x -2402413-13 x -924005-65 x -184801-181 x -66365-905 x -13273-1021 x -11765-2353 x -5105


How do I find the factor combinations of the number 12,012,065?

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 12,012,065, 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 12,012,065
-1 -12,012,065

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 12,012,065.

Example:
1 x 12,012,065 = 12,012,065
and
-1 x -12,012,065 = 12,012,065
Notice both answers equal 12,012,065

With that explanation out of the way, let's continue. Next, we take the number 12,012,065 and divide it by 2:

12,012,065 ÷ 2 = 6,006,032.5

If the quotient is a whole number, then 2 and 6,006,032.5 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 12,012,065
-1 -12,012,065

Now, we try dividing 12,012,065 by 3:

12,012,065 ÷ 3 = 4,004,021.6667

If the quotient is a whole number, then 3 and 4,004,021.6667 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 12,012,065
-1 -12,012,065

Let's try dividing by 4:

12,012,065 ÷ 4 = 3,003,016.25

If the quotient is a whole number, then 4 and 3,003,016.25 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 12,012,065
-1 12,012,065
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651819051,0212,3535,10511,76513,27366,365184,801924,0052,402,41312,012,065
-1-5-13-65-181-905-1,021-2,353-5,105-11,765-13,273-66,365-184,801-924,005-2,402,413-12,012,065

More Examples

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