A:
Positive:
1 x 21257321917 x 1250430729 x 733011171 x 2993989493 x 4311831207 x 1761172059 x 1032416073 x 35003
Negative:
-1 x -212573219-17 x -12504307-29 x -7330111-71 x -2993989-493 x -431183-1207 x -176117-2059 x -103241-6073 x -35003
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 212,573,219, 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 | 212,573,219 | |
| -1 | -212,573,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,573,219.
Example:
1 x 212,573,219 = 212,573,219
and
-1 x -212,573,219 = 212,573,219
Notice both answers equal 212,573,219
With that explanation out of the way, let's continue. Next, we take the number 212,573,219 and divide it by 2:
212,573,219 ÷ 2 = 106,286,609.5
If the quotient is a whole number, then 2 and 106,286,609.5 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 | 212,573,219 | |
| -1 | -212,573,219 |
Now, we try dividing 212,573,219 by 3:
212,573,219 ÷ 3 = 70,857,739.6667
If the quotient is a whole number, then 3 and 70,857,739.6667 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 | 212,573,219 | |
| -1 | -212,573,219 |
Let's try dividing by 4:
212,573,219 ÷ 4 = 53,143,304.75
If the quotient is a whole number, then 4 and 53,143,304.75 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 | 212,573,219 | |
| -1 | 212,573,219 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 71 | 493 | 1,207 | 2,059 | 6,073 | 35,003 | 103,241 | 176,117 | 431,183 | 2,993,989 | 7,330,111 | 12,504,307 | 212,573,219 |
| -1 | -17 | -29 | -71 | -493 | -1,207 | -2,059 | -6,073 | -35,003 | -103,241 | -176,117 | -431,183 | -2,993,989 | -7,330,111 | -12,504,307 | -212,573,219 |
Here are some more numbers to try:
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