A:
Positive:
1 x 12122211729 x 418007341 x 295663743 x 28191191189 x 1019531247 x 972111763 x 687592371 x 51127
Negative:
-1 x -121222117-29 x -4180073-41 x -2956637-43 x -2819119-1189 x -101953-1247 x -97211-1763 x -68759-2371 x -51127
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 121,222,117, 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 | 121,222,117 | |
| -1 | -121,222,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,222,117.
Example:
1 x 121,222,117 = 121,222,117
and
-1 x -121,222,117 = 121,222,117
Notice both answers equal 121,222,117
With that explanation out of the way, let's continue. Next, we take the number 121,222,117 and divide it by 2:
121,222,117 ÷ 2 = 60,611,058.5
If the quotient is a whole number, then 2 and 60,611,058.5 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 | 121,222,117 | |
| -1 | -121,222,117 |
Now, we try dividing 121,222,117 by 3:
121,222,117 ÷ 3 = 40,407,372.3333
If the quotient is a whole number, then 3 and 40,407,372.3333 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 | 121,222,117 | |
| -1 | -121,222,117 |
Let's try dividing by 4:
121,222,117 ÷ 4 = 30,305,529.25
If the quotient is a whole number, then 4 and 30,305,529.25 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 | 121,222,117 | |
| -1 | 121,222,117 |
If you did it right, you will end up with this table:
| 1 | 29 | 41 | 43 | 1,189 | 1,247 | 1,763 | 2,371 | 51,127 | 68,759 | 97,211 | 101,953 | 2,819,119 | 2,956,637 | 4,180,073 | 121,222,117 |
| -1 | -29 | -41 | -43 | -1,189 | -1,247 | -1,763 | -2,371 | -51,127 | -68,759 | -97,211 | -101,953 | -2,819,119 | -2,956,637 | -4,180,073 | -121,222,117 |
Here are some more numbers to try:
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