A:
Positive:
1 x 7262712177 x 103753031127 x 5718671269 x 2699893889 x 8169531883 x 3856993037 x 23914121259 x 34163
Negative:
-1 x -726271217-7 x -103753031-127 x -5718671-269 x -2699893-889 x -816953-1883 x -385699-3037 x -239141-21259 x -34163
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 726,271,217, 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 | 726,271,217 | |
| -1 | -726,271,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,271,217.
Example:
1 x 726,271,217 = 726,271,217
and
-1 x -726,271,217 = 726,271,217
Notice both answers equal 726,271,217
With that explanation out of the way, let's continue. Next, we take the number 726,271,217 and divide it by 2:
726,271,217 ÷ 2 = 363,135,608.5
If the quotient is a whole number, then 2 and 363,135,608.5 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 | 726,271,217 | |
| -1 | -726,271,217 |
Now, we try dividing 726,271,217 by 3:
726,271,217 ÷ 3 = 242,090,405.6667
If the quotient is a whole number, then 3 and 242,090,405.6667 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 | 726,271,217 | |
| -1 | -726,271,217 |
Let's try dividing by 4:
726,271,217 ÷ 4 = 181,567,804.25
If the quotient is a whole number, then 4 and 181,567,804.25 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 | 726,271,217 | |
| -1 | 726,271,217 |
If you did it right, you will end up with this table:
| 1 | 7 | 127 | 269 | 889 | 1,883 | 3,037 | 21,259 | 34,163 | 239,141 | 385,699 | 816,953 | 2,699,893 | 5,718,671 | 103,753,031 | 726,271,217 |
| -1 | -7 | -127 | -269 | -889 | -1,883 | -3,037 | -21,259 | -34,163 | -239,141 | -385,699 | -816,953 | -2,699,893 | -5,718,671 | -103,753,031 | -726,271,217 |
Here are some more numbers to try:
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