A:
Positive:
1 x 7265868477 x 10379812119 x 3824141349 x 14828303133 x 5463059343 x 2118329931 x 7804376517 x 111491
Negative:
-1 x -726586847-7 x -103798121-19 x -38241413-49 x -14828303-133 x -5463059-343 x -2118329-931 x -780437-6517 x -111491
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 726,586,847, 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 | 726,586,847 | |
| -1 | -726,586,847 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,586,847.
Example:
1 x 726,586,847 = 726,586,847
and
-1 x -726,586,847 = 726,586,847
Notice both answers equal 726,586,847
With that explanation out of the way, let's continue. Next, we take the number 726,586,847 and divide it by 2:
726,586,847 ÷ 2 = 363,293,423.5
If the quotient is a whole number, then 2 and 363,293,423.5 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 | 726,586,847 | |
| -1 | -726,586,847 |
Now, we try dividing 726,586,847 by 3:
726,586,847 ÷ 3 = 242,195,615.6667
If the quotient is a whole number, then 3 and 242,195,615.6667 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 | 726,586,847 | |
| -1 | -726,586,847 |
Let's try dividing by 4:
726,586,847 ÷ 4 = 181,646,711.75
If the quotient is a whole number, then 4 and 181,646,711.75 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 | 726,586,847 | |
| -1 | 726,586,847 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 49 | 133 | 343 | 931 | 6,517 | 111,491 | 780,437 | 2,118,329 | 5,463,059 | 14,828,303 | 38,241,413 | 103,798,121 | 726,586,847 |
| -1 | -7 | -19 | -49 | -133 | -343 | -931 | -6,517 | -111,491 | -780,437 | -2,118,329 | -5,463,059 | -14,828,303 | -38,241,413 | -103,798,121 | -726,586,847 |
Here are some more numbers to try:
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