A:
Positive:
1 x 12001997 x 17145711 x 10910913 x 9232377 x 1558791 x 13189109 x 11011121 x 9919143 x 8393763 x 1573847 x 14171001 x 1199
Negative:
-1 x -1200199-7 x -171457-11 x -109109-13 x -92323-77 x -15587-91 x -13189-109 x -11011-121 x -9919-143 x -8393-763 x -1573-847 x -1417-1001 x -1199
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 1,200,199, it is easier to work with a table - it's called factoring from the outside in.
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 | 1,200,199 | |
| -1 | -1,200,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,200,199.
Example:
1 x 1,200,199 = 1,200,199
and
-1 x -1,200,199 = 1,200,199
Notice both answers equal 1,200,199
With that explanation out of the way, let's continue. Next, we take the number 1,200,199 and divide it by 2:
1,200,199 ÷ 2 = 600,099.5
If the quotient is a whole number, then 2 and 600,099.5 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 | 1,200,199 | |
| -1 | -1,200,199 |
Now, we try dividing 1,200,199 by 3:
1,200,199 ÷ 3 = 400,066.3333
If the quotient is a whole number, then 3 and 400,066.3333 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 | 1,200,199 | |
| -1 | -1,200,199 |
Let's try dividing by 4:
1,200,199 ÷ 4 = 300,049.75
If the quotient is a whole number, then 4 and 300,049.75 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 | 1,200,199 | |
| -1 | 1,200,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 109 | 121 | 143 | 763 | 847 | 1,001 | 1,199 | 1,417 | 1,573 | 8,393 | 9,919 | 11,011 | 13,189 | 15,587 | 92,323 | 109,109 | 171,457 | 1,200,199 |
| -1 | -7 | -11 | -13 | -77 | -91 | -109 | -121 | -143 | -763 | -847 | -1,001 | -1,199 | -1,417 | -1,573 | -8,393 | -9,919 | -11,011 | -13,189 | -15,587 | -92,323 | -109,109 | -171,457 | -1,200,199 |
Here are some more numbers to try:
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