A:
Positive:
1 x 7260115317 x 10371593367 x 10835993469 x 15479991061 x 6842711459 x 4976097427 x 9775310213 x 71087
Negative:
-1 x -726011531-7 x -103715933-67 x -10835993-469 x -1547999-1061 x -684271-1459 x -497609-7427 x -97753-10213 x -71087
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 726,011,531, 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 | 726,011,531 | |
| -1 | -726,011,531 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,011,531.
Example:
1 x 726,011,531 = 726,011,531
and
-1 x -726,011,531 = 726,011,531
Notice both answers equal 726,011,531
With that explanation out of the way, let's continue. Next, we take the number 726,011,531 and divide it by 2:
726,011,531 ÷ 2 = 363,005,765.5
If the quotient is a whole number, then 2 and 363,005,765.5 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 | 726,011,531 | |
| -1 | -726,011,531 |
Now, we try dividing 726,011,531 by 3:
726,011,531 ÷ 3 = 242,003,843.6667
If the quotient is a whole number, then 3 and 242,003,843.6667 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 | 726,011,531 | |
| -1 | -726,011,531 |
Let's try dividing by 4:
726,011,531 ÷ 4 = 181,502,882.75
If the quotient is a whole number, then 4 and 181,502,882.75 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 | 726,011,531 | |
| -1 | 726,011,531 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 469 | 1,061 | 1,459 | 7,427 | 10,213 | 71,087 | 97,753 | 497,609 | 684,271 | 1,547,999 | 10,835,993 | 103,715,933 | 726,011,531 |
| -1 | -7 | -67 | -469 | -1,061 | -1,459 | -7,427 | -10,213 | -71,087 | -97,753 | -497,609 | -684,271 | -1,547,999 | -10,835,993 | -103,715,933 | -726,011,531 |
Here are some more numbers to try:
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