A:
Positive:
1 x 1216653137 x 1738075911 x 1106048377 x 1580069107 x 1137059749 x 1624371177 x 1033698239 x 14767
Negative:
-1 x -121665313-7 x -17380759-11 x -11060483-77 x -1580069-107 x -1137059-749 x -162437-1177 x -103369-8239 x -14767
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 121,665,313, 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 | 121,665,313 | |
| -1 | -121,665,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,665,313.
Example:
1 x 121,665,313 = 121,665,313
and
-1 x -121,665,313 = 121,665,313
Notice both answers equal 121,665,313
With that explanation out of the way, let's continue. Next, we take the number 121,665,313 and divide it by 2:
121,665,313 ÷ 2 = 60,832,656.5
If the quotient is a whole number, then 2 and 60,832,656.5 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 | 121,665,313 | |
| -1 | -121,665,313 |
Now, we try dividing 121,665,313 by 3:
121,665,313 ÷ 3 = 40,555,104.3333
If the quotient is a whole number, then 3 and 40,555,104.3333 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 | 121,665,313 | |
| -1 | -121,665,313 |
Let's try dividing by 4:
121,665,313 ÷ 4 = 30,416,328.25
If the quotient is a whole number, then 4 and 30,416,328.25 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 | 121,665,313 | |
| -1 | 121,665,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 107 | 749 | 1,177 | 8,239 | 14,767 | 103,369 | 162,437 | 1,137,059 | 1,580,069 | 11,060,483 | 17,380,759 | 121,665,313 |
| -1 | -7 | -11 | -77 | -107 | -749 | -1,177 | -8,239 | -14,767 | -103,369 | -162,437 | -1,137,059 | -1,580,069 | -11,060,483 | -17,380,759 | -121,665,313 |
Here are some more numbers to try:
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