A:
Positive:
1 x 3011332255 x 6022664525 x 1204532931 x 9713975155 x 1942795283 x 1064075775 x 3885591373 x 2193251415 x 2128156865 x 438657075 x 425638773 x 34325
Negative:
-1 x -301133225-5 x -60226645-25 x -12045329-31 x -9713975-155 x -1942795-283 x -1064075-775 x -388559-1373 x -219325-1415 x -212815-6865 x -43865-7075 x -42563-8773 x -34325
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 301,133,225, 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 | 301,133,225 | |
| -1 | -301,133,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,133,225.
Example:
1 x 301,133,225 = 301,133,225
and
-1 x -301,133,225 = 301,133,225
Notice both answers equal 301,133,225
With that explanation out of the way, let's continue. Next, we take the number 301,133,225 and divide it by 2:
301,133,225 ÷ 2 = 150,566,612.5
If the quotient is a whole number, then 2 and 150,566,612.5 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 | 301,133,225 | |
| -1 | -301,133,225 |
Now, we try dividing 301,133,225 by 3:
301,133,225 ÷ 3 = 100,377,741.6667
If the quotient is a whole number, then 3 and 100,377,741.6667 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 | 301,133,225 | |
| -1 | -301,133,225 |
Let's try dividing by 4:
301,133,225 ÷ 4 = 75,283,306.25
If the quotient is a whole number, then 4 and 75,283,306.25 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 | 301,133,225 | |
| -1 | 301,133,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 155 | 283 | 775 | 1,373 | 1,415 | 6,865 | 7,075 | 8,773 | 34,325 | 42,563 | 43,865 | 212,815 | 219,325 | 388,559 | 1,064,075 | 1,942,795 | 9,713,975 | 12,045,329 | 60,226,645 | 301,133,225 |
| -1 | -5 | -25 | -31 | -155 | -283 | -775 | -1,373 | -1,415 | -6,865 | -7,075 | -8,773 | -34,325 | -42,563 | -43,865 | -212,815 | -219,325 | -388,559 | -1,064,075 | -1,942,795 | -9,713,975 | -12,045,329 | -60,226,645 | -301,133,225 |
Here are some more numbers to try:
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