A:
Positive:
1 x 72667264331 x 2344105341 x 17723723961 x 7561631271 x 57173318443 x 39401
Negative:
-1 x -726672643-31 x -23441053-41 x -17723723-961 x -756163-1271 x -571733-18443 x -39401
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 726,672,643, 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 | 726,672,643 | |
| -1 | -726,672,643 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,672,643.
Example:
1 x 726,672,643 = 726,672,643
and
-1 x -726,672,643 = 726,672,643
Notice both answers equal 726,672,643
With that explanation out of the way, let's continue. Next, we take the number 726,672,643 and divide it by 2:
726,672,643 ÷ 2 = 363,336,321.5
If the quotient is a whole number, then 2 and 363,336,321.5 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 | 726,672,643 | |
| -1 | -726,672,643 |
Now, we try dividing 726,672,643 by 3:
726,672,643 ÷ 3 = 242,224,214.3333
If the quotient is a whole number, then 3 and 242,224,214.3333 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 | 726,672,643 | |
| -1 | -726,672,643 |
Let's try dividing by 4:
726,672,643 ÷ 4 = 181,668,160.75
If the quotient is a whole number, then 4 and 181,668,160.75 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 | 726,672,643 | |
| -1 | 726,672,643 |
If you did it right, you will end up with this table:
| 1 | 31 | 41 | 961 | 1,271 | 18,443 | 39,401 | 571,733 | 756,163 | 17,723,723 | 23,441,053 | 726,672,643 |
| -1 | -31 | -41 | -961 | -1,271 | -18,443 | -39,401 | -571,733 | -756,163 | -17,723,723 | -23,441,053 | -726,672,643 |
Here are some more numbers to try:
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