A:
Positive:
1 x 31254301111 x 2841300117 x 18384883173 x 1806607187 x 16713531903 x 1642372941 x 1062719661 x 32351
Negative:
-1 x -312543011-11 x -28413001-17 x -18384883-173 x -1806607-187 x -1671353-1903 x -164237-2941 x -106271-9661 x -32351
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 312,543,011, 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 | 312,543,011 | |
| -1 | -312,543,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,543,011.
Example:
1 x 312,543,011 = 312,543,011
and
-1 x -312,543,011 = 312,543,011
Notice both answers equal 312,543,011
With that explanation out of the way, let's continue. Next, we take the number 312,543,011 and divide it by 2:
312,543,011 ÷ 2 = 156,271,505.5
If the quotient is a whole number, then 2 and 156,271,505.5 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 | 312,543,011 | |
| -1 | -312,543,011 |
Now, we try dividing 312,543,011 by 3:
312,543,011 ÷ 3 = 104,181,003.6667
If the quotient is a whole number, then 3 and 104,181,003.6667 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 | 312,543,011 | |
| -1 | -312,543,011 |
Let's try dividing by 4:
312,543,011 ÷ 4 = 78,135,752.75
If the quotient is a whole number, then 4 and 78,135,752.75 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 | 312,543,011 | |
| -1 | 312,543,011 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 173 | 187 | 1,903 | 2,941 | 9,661 | 32,351 | 106,271 | 164,237 | 1,671,353 | 1,806,607 | 18,384,883 | 28,413,001 | 312,543,011 |
| -1 | -11 | -17 | -173 | -187 | -1,903 | -2,941 | -9,661 | -32,351 | -106,271 | -164,237 | -1,671,353 | -1,806,607 | -18,384,883 | -28,413,001 | -312,543,011 |
Here are some more numbers to try:
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