A:
Positive:
1 x 3010542717 x 4300775371 x 4240201103 x 2922857497 x 605743721 x 4175515881 x 511917313 x 41167
Negative:
-1 x -301054271-7 x -43007753-71 x -4240201-103 x -2922857-497 x -605743-721 x -417551-5881 x -51191-7313 x -41167
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 301,054,271, 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 | 301,054,271 | |
| -1 | -301,054,271 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,054,271.
Example:
1 x 301,054,271 = 301,054,271
and
-1 x -301,054,271 = 301,054,271
Notice both answers equal 301,054,271
With that explanation out of the way, let's continue. Next, we take the number 301,054,271 and divide it by 2:
301,054,271 ÷ 2 = 150,527,135.5
If the quotient is a whole number, then 2 and 150,527,135.5 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 | 301,054,271 | |
| -1 | -301,054,271 |
Now, we try dividing 301,054,271 by 3:
301,054,271 ÷ 3 = 100,351,423.6667
If the quotient is a whole number, then 3 and 100,351,423.6667 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 | 301,054,271 | |
| -1 | -301,054,271 |
Let's try dividing by 4:
301,054,271 ÷ 4 = 75,263,567.75
If the quotient is a whole number, then 4 and 75,263,567.75 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 | 301,054,271 | |
| -1 | 301,054,271 |
If you did it right, you will end up with this table:
| 1 | 7 | 71 | 103 | 497 | 721 | 5,881 | 7,313 | 41,167 | 51,191 | 417,551 | 605,743 | 2,922,857 | 4,240,201 | 43,007,753 | 301,054,271 |
| -1 | -7 | -71 | -103 | -497 | -721 | -5,881 | -7,313 | -41,167 | -51,191 | -417,551 | -605,743 | -2,922,857 | -4,240,201 | -43,007,753 | -301,054,271 |
Here are some more numbers to try:
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