Q: What are the factor combinations of the number 12,107,275?

 A:
Positive:   1 x 121072755 x 242145519 x 63722525 x 48429171 x 17052595 x 127445355 x 34105359 x 33725475 x 254891349 x 89751775 x 68211795 x 6745
Negative: -1 x -12107275-5 x -2421455-19 x -637225-25 x -484291-71 x -170525-95 x -127445-355 x -34105-359 x -33725-475 x -25489-1349 x -8975-1775 x -6821-1795 x -6745


How do I find the factor combinations of the number 12,107,275?

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 12,107,275, 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 12,107,275
-1 -12,107,275

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 12,107,275.

Example:
1 x 12,107,275 = 12,107,275
and
-1 x -12,107,275 = 12,107,275
Notice both answers equal 12,107,275

With that explanation out of the way, let's continue. Next, we take the number 12,107,275 and divide it by 2:

12,107,275 ÷ 2 = 6,053,637.5

If the quotient is a whole number, then 2 and 6,053,637.5 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 12,107,275
-1 -12,107,275

Now, we try dividing 12,107,275 by 3:

12,107,275 ÷ 3 = 4,035,758.3333

If the quotient is a whole number, then 3 and 4,035,758.3333 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 12,107,275
-1 -12,107,275

Let's try dividing by 4:

12,107,275 ÷ 4 = 3,026,818.75

If the quotient is a whole number, then 4 and 3,026,818.75 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 12,107,275
-1 12,107,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15192571953553594751,3491,7751,7956,7456,8218,97525,48933,72534,105127,445170,525484,291637,2252,421,45512,107,275
-1-5-19-25-71-95-355-359-475-1,349-1,775-1,795-6,745-6,821-8,975-25,489-33,725-34,105-127,445-170,525-484,291-637,225-2,421,455-12,107,275

More Examples

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