A:
Positive:
1 x 2577045855 x 5154091729 x 8886365145 x 1777273457 x 5639052285 x 1127813889 x 6626513253 x 19445
Negative:
-1 x -257704585-5 x -51540917-29 x -8886365-145 x -1777273-457 x -563905-2285 x -112781-3889 x -66265-13253 x -19445
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 257,704,585, 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 | 257,704,585 | |
| -1 | -257,704,585 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,704,585.
Example:
1 x 257,704,585 = 257,704,585
and
-1 x -257,704,585 = 257,704,585
Notice both answers equal 257,704,585
With that explanation out of the way, let's continue. Next, we take the number 257,704,585 and divide it by 2:
257,704,585 ÷ 2 = 128,852,292.5
If the quotient is a whole number, then 2 and 128,852,292.5 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 | 257,704,585 | |
| -1 | -257,704,585 |
Now, we try dividing 257,704,585 by 3:
257,704,585 ÷ 3 = 85,901,528.3333
If the quotient is a whole number, then 3 and 85,901,528.3333 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 | 257,704,585 | |
| -1 | -257,704,585 |
Let's try dividing by 4:
257,704,585 ÷ 4 = 64,426,146.25
If the quotient is a whole number, then 4 and 64,426,146.25 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 | 257,704,585 | |
| -1 | 257,704,585 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 457 | 2,285 | 3,889 | 13,253 | 19,445 | 66,265 | 112,781 | 563,905 | 1,777,273 | 8,886,365 | 51,540,917 | 257,704,585 |
| -1 | -5 | -29 | -145 | -457 | -2,285 | -3,889 | -13,253 | -19,445 | -66,265 | -112,781 | -563,905 | -1,777,273 | -8,886,365 | -51,540,917 | -257,704,585 |
Here are some more numbers to try:
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