A:
Positive:
1 x 12152215129 x 419041973 x 1664687137 x 887023419 x 2900292117 x 574033973 x 3058710001 x 12151
Negative:
-1 x -121522151-29 x -4190419-73 x -1664687-137 x -887023-419 x -290029-2117 x -57403-3973 x -30587-10001 x -12151
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 121,522,151, 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 | 121,522,151 | |
| -1 | -121,522,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,522,151.
Example:
1 x 121,522,151 = 121,522,151
and
-1 x -121,522,151 = 121,522,151
Notice both answers equal 121,522,151
With that explanation out of the way, let's continue. Next, we take the number 121,522,151 and divide it by 2:
121,522,151 ÷ 2 = 60,761,075.5
If the quotient is a whole number, then 2 and 60,761,075.5 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 | 121,522,151 | |
| -1 | -121,522,151 |
Now, we try dividing 121,522,151 by 3:
121,522,151 ÷ 3 = 40,507,383.6667
If the quotient is a whole number, then 3 and 40,507,383.6667 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 | 121,522,151 | |
| -1 | -121,522,151 |
Let's try dividing by 4:
121,522,151 ÷ 4 = 30,380,537.75
If the quotient is a whole number, then 4 and 30,380,537.75 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 | 121,522,151 | |
| -1 | 121,522,151 |
If you did it right, you will end up with this table:
| 1 | 29 | 73 | 137 | 419 | 2,117 | 3,973 | 10,001 | 12,151 | 30,587 | 57,403 | 290,029 | 887,023 | 1,664,687 | 4,190,419 | 121,522,151 |
| -1 | -29 | -73 | -137 | -419 | -2,117 | -3,973 | -10,001 | -12,151 | -30,587 | -57,403 | -290,029 | -887,023 | -1,664,687 | -4,190,419 | -121,522,151 |
Here are some more numbers to try:
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