A:
Positive:
1 x 72664247323 x 3159315129 x 25056637487 x 1492079667 x 10894192237 x 32482911201 x 6487314123 x 51451
Negative:
-1 x -726642473-23 x -31593151-29 x -25056637-487 x -1492079-667 x -1089419-2237 x -324829-11201 x -64873-14123 x -51451
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 726,642,473, 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 | 726,642,473 | |
| -1 | -726,642,473 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,642,473.
Example:
1 x 726,642,473 = 726,642,473
and
-1 x -726,642,473 = 726,642,473
Notice both answers equal 726,642,473
With that explanation out of the way, let's continue. Next, we take the number 726,642,473 and divide it by 2:
726,642,473 ÷ 2 = 363,321,236.5
If the quotient is a whole number, then 2 and 363,321,236.5 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 | 726,642,473 | |
| -1 | -726,642,473 |
Now, we try dividing 726,642,473 by 3:
726,642,473 ÷ 3 = 242,214,157.6667
If the quotient is a whole number, then 3 and 242,214,157.6667 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 | 726,642,473 | |
| -1 | -726,642,473 |
Let's try dividing by 4:
726,642,473 ÷ 4 = 181,660,618.25
If the quotient is a whole number, then 4 and 181,660,618.25 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 | 726,642,473 | |
| -1 | 726,642,473 |
If you did it right, you will end up with this table:
| 1 | 23 | 29 | 487 | 667 | 2,237 | 11,201 | 14,123 | 51,451 | 64,873 | 324,829 | 1,089,419 | 1,492,079 | 25,056,637 | 31,593,151 | 726,642,473 |
| -1 | -23 | -29 | -487 | -667 | -2,237 | -11,201 | -14,123 | -51,451 | -64,873 | -324,829 | -1,089,419 | -1,492,079 | -25,056,637 | -31,593,151 | -726,642,473 |
Here are some more numbers to try:
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