A:
Positive:
1 x 2561253317 x 3658933311 x 2328412177 x 3326303439 x 5834293073 x 833474829 x 530397577 x 33803
Negative:
-1 x -256125331-7 x -36589333-11 x -23284121-77 x -3326303-439 x -583429-3073 x -83347-4829 x -53039-7577 x -33803
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 256,125,331, 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 | 256,125,331 | |
| -1 | -256,125,331 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,125,331.
Example:
1 x 256,125,331 = 256,125,331
and
-1 x -256,125,331 = 256,125,331
Notice both answers equal 256,125,331
With that explanation out of the way, let's continue. Next, we take the number 256,125,331 and divide it by 2:
256,125,331 ÷ 2 = 128,062,665.5
If the quotient is a whole number, then 2 and 128,062,665.5 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 | 256,125,331 | |
| -1 | -256,125,331 |
Now, we try dividing 256,125,331 by 3:
256,125,331 ÷ 3 = 85,375,110.3333
If the quotient is a whole number, then 3 and 85,375,110.3333 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 | 256,125,331 | |
| -1 | -256,125,331 |
Let's try dividing by 4:
256,125,331 ÷ 4 = 64,031,332.75
If the quotient is a whole number, then 4 and 64,031,332.75 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 | 256,125,331 | |
| -1 | 256,125,331 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 439 | 3,073 | 4,829 | 7,577 | 33,803 | 53,039 | 83,347 | 583,429 | 3,326,303 | 23,284,121 | 36,589,333 | 256,125,331 |
| -1 | -7 | -11 | -77 | -439 | -3,073 | -4,829 | -7,577 | -33,803 | -53,039 | -83,347 | -583,429 | -3,326,303 | -23,284,121 | -36,589,333 | -256,125,331 |
Here are some more numbers to try:
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