A:
Positive:
1 x 3213030317 x 4590043323 x 13969697161 x 1995671179 x 17949891253 x 2564274117 x 7804311149 x 28819
Negative:
-1 x -321303031-7 x -45900433-23 x -13969697-161 x -1995671-179 x -1794989-1253 x -256427-4117 x -78043-11149 x -28819
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 321,303,031, 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 | 321,303,031 | |
| -1 | -321,303,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,303,031.
Example:
1 x 321,303,031 = 321,303,031
and
-1 x -321,303,031 = 321,303,031
Notice both answers equal 321,303,031
With that explanation out of the way, let's continue. Next, we take the number 321,303,031 and divide it by 2:
321,303,031 ÷ 2 = 160,651,515.5
If the quotient is a whole number, then 2 and 160,651,515.5 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 | 321,303,031 | |
| -1 | -321,303,031 |
Now, we try dividing 321,303,031 by 3:
321,303,031 ÷ 3 = 107,101,010.3333
If the quotient is a whole number, then 3 and 107,101,010.3333 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 | 321,303,031 | |
| -1 | -321,303,031 |
Let's try dividing by 4:
321,303,031 ÷ 4 = 80,325,757.75
If the quotient is a whole number, then 4 and 80,325,757.75 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 | 321,303,031 | |
| -1 | 321,303,031 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 179 | 1,253 | 4,117 | 11,149 | 28,819 | 78,043 | 256,427 | 1,794,989 | 1,995,671 | 13,969,697 | 45,900,433 | 321,303,031 |
| -1 | -7 | -23 | -161 | -179 | -1,253 | -4,117 | -11,149 | -28,819 | -78,043 | -256,427 | -1,794,989 | -1,995,671 | -13,969,697 | -45,900,433 | -321,303,031 |
Here are some more numbers to try:
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