A:
Positive:
1 x 74334731911 x 6757702913 x 57180563143 x 5198233163 x 45604131793 x 4145832119 x 35080123309 x 31891
Negative:
-1 x -743347319-11 x -67577029-13 x -57180563-143 x -5198233-163 x -4560413-1793 x -414583-2119 x -350801-23309 x -31891
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 743,347,319, 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 | 743,347,319 | |
| -1 | -743,347,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 743,347,319.
Example:
1 x 743,347,319 = 743,347,319
and
-1 x -743,347,319 = 743,347,319
Notice both answers equal 743,347,319
With that explanation out of the way, let's continue. Next, we take the number 743,347,319 and divide it by 2:
743,347,319 ÷ 2 = 371,673,659.5
If the quotient is a whole number, then 2 and 371,673,659.5 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 | 743,347,319 | |
| -1 | -743,347,319 |
Now, we try dividing 743,347,319 by 3:
743,347,319 ÷ 3 = 247,782,439.6667
If the quotient is a whole number, then 3 and 247,782,439.6667 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 | 743,347,319 | |
| -1 | -743,347,319 |
Let's try dividing by 4:
743,347,319 ÷ 4 = 185,836,829.75
If the quotient is a whole number, then 4 and 185,836,829.75 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 | 743,347,319 | |
| -1 | 743,347,319 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 163 | 1,793 | 2,119 | 23,309 | 31,891 | 350,801 | 414,583 | 4,560,413 | 5,198,233 | 57,180,563 | 67,577,029 | 743,347,319 |
| -1 | -11 | -13 | -143 | -163 | -1,793 | -2,119 | -23,309 | -31,891 | -350,801 | -414,583 | -4,560,413 | -5,198,233 | -57,180,563 | -67,577,029 | -743,347,319 |
Here are some more numbers to try:
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