A:
Positive:
1 x 303212655 x 606425313 x 233240565 x 466481193 x 157105965 x 314212417 x 125452509 x 12085
Negative:
-1 x -30321265-5 x -6064253-13 x -2332405-65 x -466481-193 x -157105-965 x -31421-2417 x -12545-2509 x -12085
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 30,321,265, 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 | 30,321,265 | |
| -1 | -30,321,265 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,321,265.
Example:
1 x 30,321,265 = 30,321,265
and
-1 x -30,321,265 = 30,321,265
Notice both answers equal 30,321,265
With that explanation out of the way, let's continue. Next, we take the number 30,321,265 and divide it by 2:
30,321,265 ÷ 2 = 15,160,632.5
If the quotient is a whole number, then 2 and 15,160,632.5 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 | 30,321,265 | |
| -1 | -30,321,265 |
Now, we try dividing 30,321,265 by 3:
30,321,265 ÷ 3 = 10,107,088.3333
If the quotient is a whole number, then 3 and 10,107,088.3333 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 | 30,321,265 | |
| -1 | -30,321,265 |
Let's try dividing by 4:
30,321,265 ÷ 4 = 7,580,316.25
If the quotient is a whole number, then 4 and 7,580,316.25 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 | 30,321,265 | |
| -1 | 30,321,265 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 193 | 965 | 2,417 | 2,509 | 12,085 | 12,545 | 31,421 | 157,105 | 466,481 | 2,332,405 | 6,064,253 | 30,321,265 |
| -1 | -5 | -13 | -65 | -193 | -965 | -2,417 | -2,509 | -12,085 | -12,545 | -31,421 | -157,105 | -466,481 | -2,332,405 | -6,064,253 | -30,321,265 |
Here are some more numbers to try:
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