Q: What are the factor combinations of the number 12,128,285?

 A:
Positive:   1 x 121282855 x 242565713 x 93294531 x 39123565 x 186589155 x 78247169 x 71765403 x 30095463 x 26195845 x 143532015 x 60192315 x 5239
Negative: -1 x -12128285-5 x -2425657-13 x -932945-31 x -391235-65 x -186589-155 x -78247-169 x -71765-403 x -30095-463 x -26195-845 x -14353-2015 x -6019-2315 x -5239


How do I find the factor combinations of the number 12,128,285?

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 12,128,285, 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 12,128,285
-1 -12,128,285

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 12,128,285.

Example:
1 x 12,128,285 = 12,128,285
and
-1 x -12,128,285 = 12,128,285
Notice both answers equal 12,128,285

With that explanation out of the way, let's continue. Next, we take the number 12,128,285 and divide it by 2:

12,128,285 ÷ 2 = 6,064,142.5

If the quotient is a whole number, then 2 and 6,064,142.5 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 12,128,285
-1 -12,128,285

Now, we try dividing 12,128,285 by 3:

12,128,285 ÷ 3 = 4,042,761.6667

If the quotient is a whole number, then 3 and 4,042,761.6667 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 12,128,285
-1 -12,128,285

Let's try dividing by 4:

12,128,285 ÷ 4 = 3,032,071.25

If the quotient is a whole number, then 4 and 3,032,071.25 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 12,128,285
-1 12,128,285
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651551694034638452,0152,3155,2396,01914,35326,19530,09571,76578,247186,589391,235932,9452,425,65712,128,285
-1-5-13-31-65-155-169-403-463-845-2,015-2,315-5,239-6,019-14,353-26,195-30,095-71,765-78,247-186,589-391,235-932,945-2,425,657-12,128,285

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