A:
Positive:
1 x 2123341997 x 3033345711 x 1930310917 x 1249024749 x 433335177 x 2757587119 x 1784321187 x 1135477539 x 393941833 x 2549031309 x 1622119163 x 23173
Negative:
-1 x -212334199-7 x -30333457-11 x -19303109-17 x -12490247-49 x -4333351-77 x -2757587-119 x -1784321-187 x -1135477-539 x -393941-833 x -254903-1309 x -162211-9163 x -23173
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 212,334,199, 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 | 212,334,199 | |
| -1 | -212,334,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,334,199.
Example:
1 x 212,334,199 = 212,334,199
and
-1 x -212,334,199 = 212,334,199
Notice both answers equal 212,334,199
With that explanation out of the way, let's continue. Next, we take the number 212,334,199 and divide it by 2:
212,334,199 ÷ 2 = 106,167,099.5
If the quotient is a whole number, then 2 and 106,167,099.5 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 | 212,334,199 | |
| -1 | -212,334,199 |
Now, we try dividing 212,334,199 by 3:
212,334,199 ÷ 3 = 70,778,066.3333
If the quotient is a whole number, then 3 and 70,778,066.3333 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 | 212,334,199 | |
| -1 | -212,334,199 |
Let's try dividing by 4:
212,334,199 ÷ 4 = 53,083,549.75
If the quotient is a whole number, then 4 and 53,083,549.75 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 | 212,334,199 | |
| -1 | 212,334,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 17 | 49 | 77 | 119 | 187 | 539 | 833 | 1,309 | 9,163 | 23,173 | 162,211 | 254,903 | 393,941 | 1,135,477 | 1,784,321 | 2,757,587 | 4,333,351 | 12,490,247 | 19,303,109 | 30,333,457 | 212,334,199 |
| -1 | -7 | -11 | -17 | -49 | -77 | -119 | -187 | -539 | -833 | -1,309 | -9,163 | -23,173 | -162,211 | -254,903 | -393,941 | -1,135,477 | -1,784,321 | -2,757,587 | -4,333,351 | -12,490,247 | -19,303,109 | -30,333,457 | -212,334,199 |
Here are some more numbers to try:
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