A:
Positive:
1 x 1212101597 x 17315737149 x 813491251 x 482909463 x 2617931043 x 1162131757 x 689873241 x 37399
Negative:
-1 x -121210159-7 x -17315737-149 x -813491-251 x -482909-463 x -261793-1043 x -116213-1757 x -68987-3241 x -37399
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 121,210,159, 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 | 121,210,159 | |
| -1 | -121,210,159 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,210,159.
Example:
1 x 121,210,159 = 121,210,159
and
-1 x -121,210,159 = 121,210,159
Notice both answers equal 121,210,159
With that explanation out of the way, let's continue. Next, we take the number 121,210,159 and divide it by 2:
121,210,159 ÷ 2 = 60,605,079.5
If the quotient is a whole number, then 2 and 60,605,079.5 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 | 121,210,159 | |
| -1 | -121,210,159 |
Now, we try dividing 121,210,159 by 3:
121,210,159 ÷ 3 = 40,403,386.3333
If the quotient is a whole number, then 3 and 40,403,386.3333 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 | 121,210,159 | |
| -1 | -121,210,159 |
Let's try dividing by 4:
121,210,159 ÷ 4 = 30,302,539.75
If the quotient is a whole number, then 4 and 30,302,539.75 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 | 121,210,159 | |
| -1 | 121,210,159 |
If you did it right, you will end up with this table:
| 1 | 7 | 149 | 251 | 463 | 1,043 | 1,757 | 3,241 | 37,399 | 68,987 | 116,213 | 261,793 | 482,909 | 813,491 | 17,315,737 | 121,210,159 |
| -1 | -7 | -149 | -251 | -463 | -1,043 | -1,757 | -3,241 | -37,399 | -68,987 | -116,213 | -261,793 | -482,909 | -813,491 | -17,315,737 | -121,210,159 |
Here are some more numbers to try:
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