Q: What are the factor combinations of the number 12,275,425?

 A:
Positive:   1 x 122754255 x 245508519 x 64607525 x 49101743 x 28547595 x 129215215 x 57095475 x 25843601 x 20425817 x 150251075 x 114193005 x 4085
Negative: -1 x -12275425-5 x -2455085-19 x -646075-25 x -491017-43 x -285475-95 x -129215-215 x -57095-475 x -25843-601 x -20425-817 x -15025-1075 x -11419-3005 x -4085


How do I find the factor combinations of the number 12,275,425?

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 12,275,425, 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 12,275,425
-1 -12,275,425

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 12,275,425.

Example:
1 x 12,275,425 = 12,275,425
and
-1 x -12,275,425 = 12,275,425
Notice both answers equal 12,275,425

With that explanation out of the way, let's continue. Next, we take the number 12,275,425 and divide it by 2:

12,275,425 ÷ 2 = 6,137,712.5

If the quotient is a whole number, then 2 and 6,137,712.5 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 12,275,425
-1 -12,275,425

Now, we try dividing 12,275,425 by 3:

12,275,425 ÷ 3 = 4,091,808.3333

If the quotient is a whole number, then 3 and 4,091,808.3333 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 12,275,425
-1 -12,275,425

Let's try dividing by 4:

12,275,425 ÷ 4 = 3,068,856.25

If the quotient is a whole number, then 4 and 3,068,856.25 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 12,275,425
-1 12,275,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192543952154756018171,0753,0054,08511,41915,02520,42525,84357,095129,215285,475491,017646,0752,455,08512,275,425
-1-5-19-25-43-95-215-475-601-817-1,075-3,005-4,085-11,419-15,025-20,425-25,843-57,095-129,215-285,475-491,017-646,075-2,455,085-12,275,425

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