A:
Positive:
1 x 2123216755 x 4246433519 x 1117482525 x 849286795 x 2234965197 x 1077775475 x 446993985 x 2155552269 x 935753743 x 567254925 x 4311111345 x 18715
Negative:
-1 x -212321675-5 x -42464335-19 x -11174825-25 x -8492867-95 x -2234965-197 x -1077775-475 x -446993-985 x -215555-2269 x -93575-3743 x -56725-4925 x -43111-11345 x -18715
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 212,321,675, 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 | 212,321,675 | |
| -1 | -212,321,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,321,675.
Example:
1 x 212,321,675 = 212,321,675
and
-1 x -212,321,675 = 212,321,675
Notice both answers equal 212,321,675
With that explanation out of the way, let's continue. Next, we take the number 212,321,675 and divide it by 2:
212,321,675 ÷ 2 = 106,160,837.5
If the quotient is a whole number, then 2 and 106,160,837.5 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 | 212,321,675 | |
| -1 | -212,321,675 |
Now, we try dividing 212,321,675 by 3:
212,321,675 ÷ 3 = 70,773,891.6667
If the quotient is a whole number, then 3 and 70,773,891.6667 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 | 212,321,675 | |
| -1 | -212,321,675 |
Let's try dividing by 4:
212,321,675 ÷ 4 = 53,080,418.75
If the quotient is a whole number, then 4 and 53,080,418.75 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 | 212,321,675 | |
| -1 | 212,321,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 197 | 475 | 985 | 2,269 | 3,743 | 4,925 | 11,345 | 18,715 | 43,111 | 56,725 | 93,575 | 215,555 | 446,993 | 1,077,775 | 2,234,965 | 8,492,867 | 11,174,825 | 42,464,335 | 212,321,675 |
| -1 | -5 | -19 | -25 | -95 | -197 | -475 | -985 | -2,269 | -3,743 | -4,925 | -11,345 | -18,715 | -43,111 | -56,725 | -93,575 | -215,555 | -446,993 | -1,077,775 | -2,234,965 | -8,492,867 | -11,174,825 | -42,464,335 | -212,321,675 |
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