Q: What are the factor combinations of the number 12,011,129?

 A:
Positive:   1 x 1201112913 x 92393317 x 70653723 x 522223139 x 86411221 x 54349289 x 41561299 x 40171391 x 307191807 x 66472363 x 50833197 x 3757
Negative: -1 x -12011129-13 x -923933-17 x -706537-23 x -522223-139 x -86411-221 x -54349-289 x -41561-299 x -40171-391 x -30719-1807 x -6647-2363 x -5083-3197 x -3757


How do I find the factor combinations of the number 12,011,129?

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 12,011,129, 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 12,011,129
-1 -12,011,129

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 12,011,129.

Example:
1 x 12,011,129 = 12,011,129
and
-1 x -12,011,129 = 12,011,129
Notice both answers equal 12,011,129

With that explanation out of the way, let's continue. Next, we take the number 12,011,129 and divide it by 2:

12,011,129 ÷ 2 = 6,005,564.5

If the quotient is a whole number, then 2 and 6,005,564.5 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 12,011,129
-1 -12,011,129

Now, we try dividing 12,011,129 by 3:

12,011,129 ÷ 3 = 4,003,709.6667

If the quotient is a whole number, then 3 and 4,003,709.6667 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 12,011,129
-1 -12,011,129

Let's try dividing by 4:

12,011,129 ÷ 4 = 3,002,782.25

If the quotient is a whole number, then 4 and 3,002,782.25 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 12,011,129
-1 12,011,129
Keep dividing by the next highest number until you cannot divide anymore.

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

11317231392212892993911,8072,3633,1973,7575,0836,64730,71940,17141,56154,34986,411522,223706,537923,93312,011,129
-1-13-17-23-139-221-289-299-391-1,807-2,363-3,197-3,757-5,083-6,647-30,719-40,171-41,561-54,349-86,411-522,223-706,537-923,933-12,011,129

More Examples

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