A:
Positive:
1 x 21203323117 x 1247254353 x 4000627109 x 1945259127 x 1669553289 x 733679901 x 2353311853 x 1144272159 x 982095777 x 367036731 x 3150113843 x 15317
Negative:
-1 x -212033231-17 x -12472543-53 x -4000627-109 x -1945259-127 x -1669553-289 x -733679-901 x -235331-1853 x -114427-2159 x -98209-5777 x -36703-6731 x -31501-13843 x -15317
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 212,033,231, 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 | 212,033,231 | |
| -1 | -212,033,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,033,231.
Example:
1 x 212,033,231 = 212,033,231
and
-1 x -212,033,231 = 212,033,231
Notice both answers equal 212,033,231
With that explanation out of the way, let's continue. Next, we take the number 212,033,231 and divide it by 2:
212,033,231 ÷ 2 = 106,016,615.5
If the quotient is a whole number, then 2 and 106,016,615.5 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 | 212,033,231 | |
| -1 | -212,033,231 |
Now, we try dividing 212,033,231 by 3:
212,033,231 ÷ 3 = 70,677,743.6667
If the quotient is a whole number, then 3 and 70,677,743.6667 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 | 212,033,231 | |
| -1 | -212,033,231 |
Let's try dividing by 4:
212,033,231 ÷ 4 = 53,008,307.75
If the quotient is a whole number, then 4 and 53,008,307.75 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 | 212,033,231 | |
| -1 | 212,033,231 |
If you did it right, you will end up with this table:
| 1 | 17 | 53 | 109 | 127 | 289 | 901 | 1,853 | 2,159 | 5,777 | 6,731 | 13,843 | 15,317 | 31,501 | 36,703 | 98,209 | 114,427 | 235,331 | 733,679 | 1,669,553 | 1,945,259 | 4,000,627 | 12,472,543 | 212,033,231 |
| -1 | -17 | -53 | -109 | -127 | -289 | -901 | -1,853 | -2,159 | -5,777 | -6,731 | -13,843 | -15,317 | -31,501 | -36,703 | -98,209 | -114,427 | -235,331 | -733,679 | -1,669,553 | -1,945,259 | -4,000,627 | -12,472,543 | -212,033,231 |
Here are some more numbers to try:
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