A:
Positive:
1 x 3110003155 x 62200063107 x 2906545269 x 1156135535 x 5813091345 x 2312272161 x 14391510805 x 28783
Negative:
-1 x -311000315-5 x -62200063-107 x -2906545-269 x -1156135-535 x -581309-1345 x -231227-2161 x -143915-10805 x -28783
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 311,000,315, 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 | 311,000,315 | |
| -1 | -311,000,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,000,315.
Example:
1 x 311,000,315 = 311,000,315
and
-1 x -311,000,315 = 311,000,315
Notice both answers equal 311,000,315
With that explanation out of the way, let's continue. Next, we take the number 311,000,315 and divide it by 2:
311,000,315 ÷ 2 = 155,500,157.5
If the quotient is a whole number, then 2 and 155,500,157.5 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 | 311,000,315 | |
| -1 | -311,000,315 |
Now, we try dividing 311,000,315 by 3:
311,000,315 ÷ 3 = 103,666,771.6667
If the quotient is a whole number, then 3 and 103,666,771.6667 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 | 311,000,315 | |
| -1 | -311,000,315 |
Let's try dividing by 4:
311,000,315 ÷ 4 = 77,750,078.75
If the quotient is a whole number, then 4 and 77,750,078.75 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 | 311,000,315 | |
| -1 | 311,000,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 107 | 269 | 535 | 1,345 | 2,161 | 10,805 | 28,783 | 143,915 | 231,227 | 581,309 | 1,156,135 | 2,906,545 | 62,200,063 | 311,000,315 |
| -1 | -5 | -107 | -269 | -535 | -1,345 | -2,161 | -10,805 | -28,783 | -143,915 | -231,227 | -581,309 | -1,156,135 | -2,906,545 | -62,200,063 | -311,000,315 |
Here are some more numbers to try:
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