Q: What are the factor combinations of the number 1,206,275?

 A:
Positive:   1 x 12062755 x 2412557 x 17232525 x 4825135 x 3446561 x 19775113 x 10675175 x 6893305 x 3955427 x 2825565 x 2135791 x 1525
Negative: -1 x -1206275-5 x -241255-7 x -172325-25 x -48251-35 x -34465-61 x -19775-113 x -10675-175 x -6893-305 x -3955-427 x -2825-565 x -2135-791 x -1525


How do I find the factor combinations of the number 1,206,275?

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 1,206,275, 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 1,206,275
-1 -1,206,275

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 1,206,275.

Example:
1 x 1,206,275 = 1,206,275
and
-1 x -1,206,275 = 1,206,275
Notice both answers equal 1,206,275

With that explanation out of the way, let's continue. Next, we take the number 1,206,275 and divide it by 2:

1,206,275 ÷ 2 = 603,137.5

If the quotient is a whole number, then 2 and 603,137.5 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 1,206,275
-1 -1,206,275

Now, we try dividing 1,206,275 by 3:

1,206,275 ÷ 3 = 402,091.6667

If the quotient is a whole number, then 3 and 402,091.6667 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 1,206,275
-1 -1,206,275

Let's try dividing by 4:

1,206,275 ÷ 4 = 301,568.75

If the quotient is a whole number, then 4 and 301,568.75 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 1,206,275
-1 1,206,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535611131753054275657911,5252,1352,8253,9556,89310,67519,77534,46548,251172,325241,2551,206,275
-1-5-7-25-35-61-113-175-305-427-565-791-1,525-2,135-2,825-3,955-6,893-10,675-19,775-34,465-48,251-172,325-241,255-1,206,275

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