A:
Positive:
1 x 30310114317 x 1782947983 x 3651821113 x 26823111411 x 2148131901 x 1594431921 x 1577839379 x 32317
Negative:
-1 x -303101143-17 x -17829479-83 x -3651821-113 x -2682311-1411 x -214813-1901 x -159443-1921 x -157783-9379 x -32317
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 303,101,143, 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 | 303,101,143 | |
| -1 | -303,101,143 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 303,101,143.
Example:
1 x 303,101,143 = 303,101,143
and
-1 x -303,101,143 = 303,101,143
Notice both answers equal 303,101,143
With that explanation out of the way, let's continue. Next, we take the number 303,101,143 and divide it by 2:
303,101,143 ÷ 2 = 151,550,571.5
If the quotient is a whole number, then 2 and 151,550,571.5 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 | 303,101,143 | |
| -1 | -303,101,143 |
Now, we try dividing 303,101,143 by 3:
303,101,143 ÷ 3 = 101,033,714.3333
If the quotient is a whole number, then 3 and 101,033,714.3333 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 | 303,101,143 | |
| -1 | -303,101,143 |
Let's try dividing by 4:
303,101,143 ÷ 4 = 75,775,285.75
If the quotient is a whole number, then 4 and 75,775,285.75 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 | 303,101,143 | |
| -1 | 303,101,143 |
If you did it right, you will end up with this table:
| 1 | 17 | 83 | 113 | 1,411 | 1,901 | 1,921 | 9,379 | 32,317 | 157,783 | 159,443 | 214,813 | 2,682,311 | 3,651,821 | 17,829,479 | 303,101,143 |
| -1 | -17 | -83 | -113 | -1,411 | -1,901 | -1,921 | -9,379 | -32,317 | -157,783 | -159,443 | -214,813 | -2,682,311 | -3,651,821 | -17,829,479 | -303,101,143 |
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