A:
Positive:
1 x 7247016255 x 14494032525 x 28988065125 x 5797613317 x 22861251585 x 4572257925 x 9144518289 x 39625
Negative:
-1 x -724701625-5 x -144940325-25 x -28988065-125 x -5797613-317 x -2286125-1585 x -457225-7925 x -91445-18289 x -39625
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 724,701,625, 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 | 724,701,625 | |
| -1 | -724,701,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 724,701,625.
Example:
1 x 724,701,625 = 724,701,625
and
-1 x -724,701,625 = 724,701,625
Notice both answers equal 724,701,625
With that explanation out of the way, let's continue. Next, we take the number 724,701,625 and divide it by 2:
724,701,625 ÷ 2 = 362,350,812.5
If the quotient is a whole number, then 2 and 362,350,812.5 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 | 724,701,625 | |
| -1 | -724,701,625 |
Now, we try dividing 724,701,625 by 3:
724,701,625 ÷ 3 = 241,567,208.3333
If the quotient is a whole number, then 3 and 241,567,208.3333 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 | 724,701,625 | |
| -1 | -724,701,625 |
Let's try dividing by 4:
724,701,625 ÷ 4 = 181,175,406.25
If the quotient is a whole number, then 4 and 181,175,406.25 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 | 724,701,625 | |
| -1 | 724,701,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 317 | 1,585 | 7,925 | 18,289 | 39,625 | 91,445 | 457,225 | 2,286,125 | 5,797,613 | 28,988,065 | 144,940,325 | 724,701,625 |
| -1 | -5 | -25 | -125 | -317 | -1,585 | -7,925 | -18,289 | -39,625 | -91,445 | -457,225 | -2,286,125 | -5,797,613 | -28,988,065 | -144,940,325 | -724,701,625 |
Here are some more numbers to try:
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