A:
Positive:
1 x 2566515055 x 5133030111 x 2333195555 x 46663911801 x 1425052591 x 990559005 x 2850112955 x 19811
Negative:
-1 x -256651505-5 x -51330301-11 x -23331955-55 x -4666391-1801 x -142505-2591 x -99055-9005 x -28501-12955 x -19811
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 256,651,505, 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 | 256,651,505 | |
| -1 | -256,651,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,651,505.
Example:
1 x 256,651,505 = 256,651,505
and
-1 x -256,651,505 = 256,651,505
Notice both answers equal 256,651,505
With that explanation out of the way, let's continue. Next, we take the number 256,651,505 and divide it by 2:
256,651,505 ÷ 2 = 128,325,752.5
If the quotient is a whole number, then 2 and 128,325,752.5 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 | 256,651,505 | |
| -1 | -256,651,505 |
Now, we try dividing 256,651,505 by 3:
256,651,505 ÷ 3 = 85,550,501.6667
If the quotient is a whole number, then 3 and 85,550,501.6667 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 | 256,651,505 | |
| -1 | -256,651,505 |
Let's try dividing by 4:
256,651,505 ÷ 4 = 64,162,876.25
If the quotient is a whole number, then 4 and 64,162,876.25 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 | 256,651,505 | |
| -1 | 256,651,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 1,801 | 2,591 | 9,005 | 12,955 | 19,811 | 28,501 | 99,055 | 142,505 | 4,666,391 | 23,331,955 | 51,330,301 | 256,651,505 |
| -1 | -5 | -11 | -55 | -1,801 | -2,591 | -9,005 | -12,955 | -19,811 | -28,501 | -99,055 | -142,505 | -4,666,391 | -23,331,955 | -51,330,301 | -256,651,505 |
Here are some more numbers to try:
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