A:
Positive:
1 x 31233313111 x 28393921157 x 1989383223 x 1400597811 x 3851211727 x 1808532453 x 1273278921 x 35011
Negative:
-1 x -312333131-11 x -28393921-157 x -1989383-223 x -1400597-811 x -385121-1727 x -180853-2453 x -127327-8921 x -35011
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 312,333,131, 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 | 312,333,131 | |
| -1 | -312,333,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,333,131.
Example:
1 x 312,333,131 = 312,333,131
and
-1 x -312,333,131 = 312,333,131
Notice both answers equal 312,333,131
With that explanation out of the way, let's continue. Next, we take the number 312,333,131 and divide it by 2:
312,333,131 ÷ 2 = 156,166,565.5
If the quotient is a whole number, then 2 and 156,166,565.5 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 | 312,333,131 | |
| -1 | -312,333,131 |
Now, we try dividing 312,333,131 by 3:
312,333,131 ÷ 3 = 104,111,043.6667
If the quotient is a whole number, then 3 and 104,111,043.6667 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 | 312,333,131 | |
| -1 | -312,333,131 |
Let's try dividing by 4:
312,333,131 ÷ 4 = 78,083,282.75
If the quotient is a whole number, then 4 and 78,083,282.75 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 | 312,333,131 | |
| -1 | 312,333,131 |
If you did it right, you will end up with this table:
| 1 | 11 | 157 | 223 | 811 | 1,727 | 2,453 | 8,921 | 35,011 | 127,327 | 180,853 | 385,121 | 1,400,597 | 1,989,383 | 28,393,921 | 312,333,131 |
| -1 | -11 | -157 | -223 | -811 | -1,727 | -2,453 | -8,921 | -35,011 | -127,327 | -180,853 | -385,121 | -1,400,597 | -1,989,383 | -28,393,921 | -312,333,131 |
Here are some more numbers to try:
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