A:
Positive:
1 x 72276172111 x 65705611137 x 5275633211 x 34254111507 x 4796032273 x 3179772321 x 31140125003 x 28907
Negative:
-1 x -722761721-11 x -65705611-137 x -5275633-211 x -3425411-1507 x -479603-2273 x -317977-2321 x -311401-25003 x -28907
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 722,761,721, 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 | 722,761,721 | |
| -1 | -722,761,721 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 722,761,721.
Example:
1 x 722,761,721 = 722,761,721
and
-1 x -722,761,721 = 722,761,721
Notice both answers equal 722,761,721
With that explanation out of the way, let's continue. Next, we take the number 722,761,721 and divide it by 2:
722,761,721 ÷ 2 = 361,380,860.5
If the quotient is a whole number, then 2 and 361,380,860.5 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 | 722,761,721 | |
| -1 | -722,761,721 |
Now, we try dividing 722,761,721 by 3:
722,761,721 ÷ 3 = 240,920,573.6667
If the quotient is a whole number, then 3 and 240,920,573.6667 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 | 722,761,721 | |
| -1 | -722,761,721 |
Let's try dividing by 4:
722,761,721 ÷ 4 = 180,690,430.25
If the quotient is a whole number, then 4 and 180,690,430.25 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 | 722,761,721 | |
| -1 | 722,761,721 |
If you did it right, you will end up with this table:
| 1 | 11 | 137 | 211 | 1,507 | 2,273 | 2,321 | 25,003 | 28,907 | 311,401 | 317,977 | 479,603 | 3,425,411 | 5,275,633 | 65,705,611 | 722,761,721 |
| -1 | -11 | -137 | -211 | -1,507 | -2,273 | -2,321 | -25,003 | -28,907 | -311,401 | -317,977 | -479,603 | -3,425,411 | -5,275,633 | -65,705,611 | -722,761,721 |
Here are some more numbers to try:
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