A:
Positive:
1 x 31152031911 x 2832002967 x 4649557331 x 941149737 x 4226871277 x 2439473641 x 8555914047 x 22177
Negative:
-1 x -311520319-11 x -28320029-67 x -4649557-331 x -941149-737 x -422687-1277 x -243947-3641 x -85559-14047 x -22177
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 311,520,319, 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 | 311,520,319 | |
| -1 | -311,520,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,520,319.
Example:
1 x 311,520,319 = 311,520,319
and
-1 x -311,520,319 = 311,520,319
Notice both answers equal 311,520,319
With that explanation out of the way, let's continue. Next, we take the number 311,520,319 and divide it by 2:
311,520,319 ÷ 2 = 155,760,159.5
If the quotient is a whole number, then 2 and 155,760,159.5 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 | 311,520,319 | |
| -1 | -311,520,319 |
Now, we try dividing 311,520,319 by 3:
311,520,319 ÷ 3 = 103,840,106.3333
If the quotient is a whole number, then 3 and 103,840,106.3333 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 | 311,520,319 | |
| -1 | -311,520,319 |
Let's try dividing by 4:
311,520,319 ÷ 4 = 77,880,079.75
If the quotient is a whole number, then 4 and 77,880,079.75 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 | 311,520,319 | |
| -1 | 311,520,319 |
If you did it right, you will end up with this table:
| 1 | 11 | 67 | 331 | 737 | 1,277 | 3,641 | 14,047 | 22,177 | 85,559 | 243,947 | 422,687 | 941,149 | 4,649,557 | 28,320,029 | 311,520,319 |
| -1 | -11 | -67 | -331 | -737 | -1,277 | -3,641 | -14,047 | -22,177 | -85,559 | -243,947 | -422,687 | -941,149 | -4,649,557 | -28,320,029 | -311,520,319 |
Here are some more numbers to try:
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