A:
Positive:
1 x 25601651911 x 2327422923 x 11131153121 x 2115839253 x 10119231331 x 1923492783 x 919938363 x 30613
Negative:
-1 x -256016519-11 x -23274229-23 x -11131153-121 x -2115839-253 x -1011923-1331 x -192349-2783 x -91993-8363 x -30613
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 256,016,519, 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 | 256,016,519 | |
| -1 | -256,016,519 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,016,519.
Example:
1 x 256,016,519 = 256,016,519
and
-1 x -256,016,519 = 256,016,519
Notice both answers equal 256,016,519
With that explanation out of the way, let's continue. Next, we take the number 256,016,519 and divide it by 2:
256,016,519 ÷ 2 = 128,008,259.5
If the quotient is a whole number, then 2 and 128,008,259.5 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 | 256,016,519 | |
| -1 | -256,016,519 |
Now, we try dividing 256,016,519 by 3:
256,016,519 ÷ 3 = 85,338,839.6667
If the quotient is a whole number, then 3 and 85,338,839.6667 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 | 256,016,519 | |
| -1 | -256,016,519 |
Let's try dividing by 4:
256,016,519 ÷ 4 = 64,004,129.75
If the quotient is a whole number, then 4 and 64,004,129.75 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 | 256,016,519 | |
| -1 | 256,016,519 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 121 | 253 | 1,331 | 2,783 | 8,363 | 30,613 | 91,993 | 192,349 | 1,011,923 | 2,115,839 | 11,131,153 | 23,274,229 | 256,016,519 |
| -1 | -11 | -23 | -121 | -253 | -1,331 | -2,783 | -8,363 | -30,613 | -91,993 | -192,349 | -1,011,923 | -2,115,839 | -11,131,153 | -23,274,229 | -256,016,519 |
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