A:
Positive:
1 x 7261350655 x 14522701319 x 3821763595 x 7643527103 x 7049855515 x 14099711957 x 3710459785 x 74209
Negative:
-1 x -726135065-5 x -145227013-19 x -38217635-95 x -7643527-103 x -7049855-515 x -1409971-1957 x -371045-9785 x -74209
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 726,135,065, 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 | 726,135,065 | |
| -1 | -726,135,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,135,065.
Example:
1 x 726,135,065 = 726,135,065
and
-1 x -726,135,065 = 726,135,065
Notice both answers equal 726,135,065
With that explanation out of the way, let's continue. Next, we take the number 726,135,065 and divide it by 2:
726,135,065 ÷ 2 = 363,067,532.5
If the quotient is a whole number, then 2 and 363,067,532.5 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 | 726,135,065 | |
| -1 | -726,135,065 |
Now, we try dividing 726,135,065 by 3:
726,135,065 ÷ 3 = 242,045,021.6667
If the quotient is a whole number, then 3 and 242,045,021.6667 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 | 726,135,065 | |
| -1 | -726,135,065 |
Let's try dividing by 4:
726,135,065 ÷ 4 = 181,533,766.25
If the quotient is a whole number, then 4 and 181,533,766.25 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 | 726,135,065 | |
| -1 | 726,135,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 103 | 515 | 1,957 | 9,785 | 74,209 | 371,045 | 1,409,971 | 7,049,855 | 7,643,527 | 38,217,635 | 145,227,013 | 726,135,065 |
| -1 | -5 | -19 | -95 | -103 | -515 | -1,957 | -9,785 | -74,209 | -371,045 | -1,409,971 | -7,049,855 | -7,643,527 | -38,217,635 | -145,227,013 | -726,135,065 |
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