A:
Positive:
1 x 302124355 x 604248711 x 274658555 x 549317271 x 1114851355 x 222972027 x 149052981 x 10135
Negative:
-1 x -30212435-5 x -6042487-11 x -2746585-55 x -549317-271 x -111485-1355 x -22297-2027 x -14905-2981 x -10135
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 30,212,435, 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 | 30,212,435 | |
| -1 | -30,212,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,212,435.
Example:
1 x 30,212,435 = 30,212,435
and
-1 x -30,212,435 = 30,212,435
Notice both answers equal 30,212,435
With that explanation out of the way, let's continue. Next, we take the number 30,212,435 and divide it by 2:
30,212,435 ÷ 2 = 15,106,217.5
If the quotient is a whole number, then 2 and 15,106,217.5 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 | 30,212,435 | |
| -1 | -30,212,435 |
Now, we try dividing 30,212,435 by 3:
30,212,435 ÷ 3 = 10,070,811.6667
If the quotient is a whole number, then 3 and 10,070,811.6667 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 | 30,212,435 | |
| -1 | -30,212,435 |
Let's try dividing by 4:
30,212,435 ÷ 4 = 7,553,108.75
If the quotient is a whole number, then 4 and 7,553,108.75 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 | 30,212,435 | |
| -1 | 30,212,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 271 | 1,355 | 2,027 | 2,981 | 10,135 | 14,905 | 22,297 | 111,485 | 549,317 | 2,746,585 | 6,042,487 | 30,212,435 |
| -1 | -5 | -11 | -55 | -271 | -1,355 | -2,027 | -2,981 | -10,135 | -14,905 | -22,297 | -111,485 | -549,317 | -2,746,585 | -6,042,487 | -30,212,435 |
Here are some more numbers to try:
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