A:
Positive:
1 x 1210009997 x 1728585723 x 5260913157 x 770707161 x 7515591099 x 1101013611 x 335094787 x 25277
Negative:
-1 x -121000999-7 x -17285857-23 x -5260913-157 x -770707-161 x -751559-1099 x -110101-3611 x -33509-4787 x -25277
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 121,000,999, 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 | 121,000,999 | |
| -1 | -121,000,999 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,000,999.
Example:
1 x 121,000,999 = 121,000,999
and
-1 x -121,000,999 = 121,000,999
Notice both answers equal 121,000,999
With that explanation out of the way, let's continue. Next, we take the number 121,000,999 and divide it by 2:
121,000,999 ÷ 2 = 60,500,499.5
If the quotient is a whole number, then 2 and 60,500,499.5 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 | 121,000,999 | |
| -1 | -121,000,999 |
Now, we try dividing 121,000,999 by 3:
121,000,999 ÷ 3 = 40,333,666.3333
If the quotient is a whole number, then 3 and 40,333,666.3333 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 | 121,000,999 | |
| -1 | -121,000,999 |
Let's try dividing by 4:
121,000,999 ÷ 4 = 30,250,249.75
If the quotient is a whole number, then 4 and 30,250,249.75 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 | 121,000,999 | |
| -1 | 121,000,999 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 157 | 161 | 1,099 | 3,611 | 4,787 | 25,277 | 33,509 | 110,101 | 751,559 | 770,707 | 5,260,913 | 17,285,857 | 121,000,999 |
| -1 | -7 | -23 | -157 | -161 | -1,099 | -3,611 | -4,787 | -25,277 | -33,509 | -110,101 | -751,559 | -770,707 | -5,260,913 | -17,285,857 | -121,000,999 |
Here are some more numbers to try:
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