A:
Positive:
1 x 43102130331 x 1390391361 x 7065923193 x 22332711181 x 3649631891 x 2279335983 x 7204111773 x 36611
Negative:
-1 x -431021303-31 x -13903913-61 x -7065923-193 x -2233271-1181 x -364963-1891 x -227933-5983 x -72041-11773 x -36611
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 431,021,303, 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 | 431,021,303 | |
| -1 | -431,021,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,021,303.
Example:
1 x 431,021,303 = 431,021,303
and
-1 x -431,021,303 = 431,021,303
Notice both answers equal 431,021,303
With that explanation out of the way, let's continue. Next, we take the number 431,021,303 and divide it by 2:
431,021,303 ÷ 2 = 215,510,651.5
If the quotient is a whole number, then 2 and 215,510,651.5 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 | 431,021,303 | |
| -1 | -431,021,303 |
Now, we try dividing 431,021,303 by 3:
431,021,303 ÷ 3 = 143,673,767.6667
If the quotient is a whole number, then 3 and 143,673,767.6667 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 | 431,021,303 | |
| -1 | -431,021,303 |
Let's try dividing by 4:
431,021,303 ÷ 4 = 107,755,325.75
If the quotient is a whole number, then 4 and 107,755,325.75 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 | 431,021,303 | |
| -1 | 431,021,303 |
If you did it right, you will end up with this table:
| 1 | 31 | 61 | 193 | 1,181 | 1,891 | 5,983 | 11,773 | 36,611 | 72,041 | 227,933 | 364,963 | 2,233,271 | 7,065,923 | 13,903,913 | 431,021,303 |
| -1 | -31 | -61 | -193 | -1,181 | -1,891 | -5,983 | -11,773 | -36,611 | -72,041 | -227,933 | -364,963 | -2,233,271 | -7,065,923 | -13,903,913 | -431,021,303 |
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