A:
Positive:
1 x 31217350323 x 1357276131 x 10070113367 x 850609713 x 4378311193 x 2616718441 x 3698311377 x 27439
Negative:
-1 x -312173503-23 x -13572761-31 x -10070113-367 x -850609-713 x -437831-1193 x -261671-8441 x -36983-11377 x -27439
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 312,173,503, 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 | 312,173,503 | |
| -1 | -312,173,503 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,173,503.
Example:
1 x 312,173,503 = 312,173,503
and
-1 x -312,173,503 = 312,173,503
Notice both answers equal 312,173,503
With that explanation out of the way, let's continue. Next, we take the number 312,173,503 and divide it by 2:
312,173,503 ÷ 2 = 156,086,751.5
If the quotient is a whole number, then 2 and 156,086,751.5 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 | 312,173,503 | |
| -1 | -312,173,503 |
Now, we try dividing 312,173,503 by 3:
312,173,503 ÷ 3 = 104,057,834.3333
If the quotient is a whole number, then 3 and 104,057,834.3333 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 | 312,173,503 | |
| -1 | -312,173,503 |
Let's try dividing by 4:
312,173,503 ÷ 4 = 78,043,375.75
If the quotient is a whole number, then 4 and 78,043,375.75 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 | 312,173,503 | |
| -1 | 312,173,503 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 367 | 713 | 1,193 | 8,441 | 11,377 | 27,439 | 36,983 | 261,671 | 437,831 | 850,609 | 10,070,113 | 13,572,761 | 312,173,503 |
| -1 | -23 | -31 | -367 | -713 | -1,193 | -8,441 | -11,377 | -27,439 | -36,983 | -261,671 | -437,831 | -850,609 | -10,070,113 | -13,572,761 | -312,173,503 |
Here are some more numbers to try:
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