A:
Positive:
1 x 5050253155 x 10100506373 x 6918155365 x 13836311049 x 4814351319 x 3828855245 x 962876595 x 76577
Negative:
-1 x -505025315-5 x -101005063-73 x -6918155-365 x -1383631-1049 x -481435-1319 x -382885-5245 x -96287-6595 x -76577
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 505,025,315, 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 | 505,025,315 | |
| -1 | -505,025,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,025,315.
Example:
1 x 505,025,315 = 505,025,315
and
-1 x -505,025,315 = 505,025,315
Notice both answers equal 505,025,315
With that explanation out of the way, let's continue. Next, we take the number 505,025,315 and divide it by 2:
505,025,315 ÷ 2 = 252,512,657.5
If the quotient is a whole number, then 2 and 252,512,657.5 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 | 505,025,315 | |
| -1 | -505,025,315 |
Now, we try dividing 505,025,315 by 3:
505,025,315 ÷ 3 = 168,341,771.6667
If the quotient is a whole number, then 3 and 168,341,771.6667 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 | 505,025,315 | |
| -1 | -505,025,315 |
Let's try dividing by 4:
505,025,315 ÷ 4 = 126,256,328.75
If the quotient is a whole number, then 4 and 126,256,328.75 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 | 505,025,315 | |
| -1 | 505,025,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 73 | 365 | 1,049 | 1,319 | 5,245 | 6,595 | 76,577 | 96,287 | 382,885 | 481,435 | 1,383,631 | 6,918,155 | 101,005,063 | 505,025,315 |
| -1 | -5 | -73 | -365 | -1,049 | -1,319 | -5,245 | -6,595 | -76,577 | -96,287 | -382,885 | -481,435 | -1,383,631 | -6,918,155 | -101,005,063 | -505,025,315 |
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