A:
Positive:
1 x 2567663155 x 5135326313 x 1975125565 x 3950251401 x 6403152005 x 1280635213 x 492559851 x 26065
Negative:
-1 x -256766315-5 x -51353263-13 x -19751255-65 x -3950251-401 x -640315-2005 x -128063-5213 x -49255-9851 x -26065
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 256,766,315, 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 | 256,766,315 | |
| -1 | -256,766,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,766,315.
Example:
1 x 256,766,315 = 256,766,315
and
-1 x -256,766,315 = 256,766,315
Notice both answers equal 256,766,315
With that explanation out of the way, let's continue. Next, we take the number 256,766,315 and divide it by 2:
256,766,315 ÷ 2 = 128,383,157.5
If the quotient is a whole number, then 2 and 128,383,157.5 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 | 256,766,315 | |
| -1 | -256,766,315 |
Now, we try dividing 256,766,315 by 3:
256,766,315 ÷ 3 = 85,588,771.6667
If the quotient is a whole number, then 3 and 85,588,771.6667 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 | 256,766,315 | |
| -1 | -256,766,315 |
Let's try dividing by 4:
256,766,315 ÷ 4 = 64,191,578.75
If the quotient is a whole number, then 4 and 64,191,578.75 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 | 256,766,315 | |
| -1 | 256,766,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 401 | 2,005 | 5,213 | 9,851 | 26,065 | 49,255 | 128,063 | 640,315 | 3,950,251 | 19,751,255 | 51,353,263 | 256,766,315 |
| -1 | -5 | -13 | -65 | -401 | -2,005 | -5,213 | -9,851 | -26,065 | -49,255 | -128,063 | -640,315 | -3,950,251 | -19,751,255 | -51,353,263 | -256,766,315 |
Here are some more numbers to try:
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