A:
Positive:
1 x 3131422497 x 4473460719 x 16481171127 x 2465687133 x 2354453889 x 3522412413 x 12977316891 x 18539
Negative:
-1 x -313142249-7 x -44734607-19 x -16481171-127 x -2465687-133 x -2354453-889 x -352241-2413 x -129773-16891 x -18539
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 313,142,249, 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 | 313,142,249 | |
| -1 | -313,142,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,142,249.
Example:
1 x 313,142,249 = 313,142,249
and
-1 x -313,142,249 = 313,142,249
Notice both answers equal 313,142,249
With that explanation out of the way, let's continue. Next, we take the number 313,142,249 and divide it by 2:
313,142,249 ÷ 2 = 156,571,124.5
If the quotient is a whole number, then 2 and 156,571,124.5 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 | 313,142,249 | |
| -1 | -313,142,249 |
Now, we try dividing 313,142,249 by 3:
313,142,249 ÷ 3 = 104,380,749.6667
If the quotient is a whole number, then 3 and 104,380,749.6667 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 | 313,142,249 | |
| -1 | -313,142,249 |
Let's try dividing by 4:
313,142,249 ÷ 4 = 78,285,562.25
If the quotient is a whole number, then 4 and 78,285,562.25 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 | 313,142,249 | |
| -1 | 313,142,249 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 127 | 133 | 889 | 2,413 | 16,891 | 18,539 | 129,773 | 352,241 | 2,354,453 | 2,465,687 | 16,481,171 | 44,734,607 | 313,142,249 |
| -1 | -7 | -19 | -127 | -133 | -889 | -2,413 | -16,891 | -18,539 | -129,773 | -352,241 | -2,354,453 | -2,465,687 | -16,481,171 | -44,734,607 | -313,142,249 |
Here are some more numbers to try:
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