A:
Positive:
1 x 2577205255 x 5154410525 x 1030882167 x 3846575251 x 1026775335 x 769315613 x 4204251255 x 2053551675 x 1538633065 x 840856275 x 4107115325 x 16817
Negative:
-1 x -257720525-5 x -51544105-25 x -10308821-67 x -3846575-251 x -1026775-335 x -769315-613 x -420425-1255 x -205355-1675 x -153863-3065 x -84085-6275 x -41071-15325 x -16817
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 257,720,525, 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 | 257,720,525 | |
| -1 | -257,720,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,720,525.
Example:
1 x 257,720,525 = 257,720,525
and
-1 x -257,720,525 = 257,720,525
Notice both answers equal 257,720,525
With that explanation out of the way, let's continue. Next, we take the number 257,720,525 and divide it by 2:
257,720,525 ÷ 2 = 128,860,262.5
If the quotient is a whole number, then 2 and 128,860,262.5 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 | 257,720,525 | |
| -1 | -257,720,525 |
Now, we try dividing 257,720,525 by 3:
257,720,525 ÷ 3 = 85,906,841.6667
If the quotient is a whole number, then 3 and 85,906,841.6667 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 | 257,720,525 | |
| -1 | -257,720,525 |
Let's try dividing by 4:
257,720,525 ÷ 4 = 64,430,131.25
If the quotient is a whole number, then 4 and 64,430,131.25 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 | 257,720,525 | |
| -1 | 257,720,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 251 | 335 | 613 | 1,255 | 1,675 | 3,065 | 6,275 | 15,325 | 16,817 | 41,071 | 84,085 | 153,863 | 205,355 | 420,425 | 769,315 | 1,026,775 | 3,846,575 | 10,308,821 | 51,544,105 | 257,720,525 |
| -1 | -5 | -25 | -67 | -251 | -335 | -613 | -1,255 | -1,675 | -3,065 | -6,275 | -15,325 | -16,817 | -41,071 | -84,085 | -153,863 | -205,355 | -420,425 | -769,315 | -1,026,775 | -3,846,575 | -10,308,821 | -51,544,105 | -257,720,525 |
Here are some more numbers to try:
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