A:
Positive:
1 x 2123210117 x 3033157373 x 2908507113 x 1878947511 x 415501791 x 2684213677 x 577438249 x 25739
Negative:
-1 x -212321011-7 x -30331573-73 x -2908507-113 x -1878947-511 x -415501-791 x -268421-3677 x -57743-8249 x -25739
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 212,321,011, 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 | 212,321,011 | |
| -1 | -212,321,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,321,011.
Example:
1 x 212,321,011 = 212,321,011
and
-1 x -212,321,011 = 212,321,011
Notice both answers equal 212,321,011
With that explanation out of the way, let's continue. Next, we take the number 212,321,011 and divide it by 2:
212,321,011 ÷ 2 = 106,160,505.5
If the quotient is a whole number, then 2 and 106,160,505.5 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 | 212,321,011 | |
| -1 | -212,321,011 |
Now, we try dividing 212,321,011 by 3:
212,321,011 ÷ 3 = 70,773,670.3333
If the quotient is a whole number, then 3 and 70,773,670.3333 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 | 212,321,011 | |
| -1 | -212,321,011 |
Let's try dividing by 4:
212,321,011 ÷ 4 = 53,080,252.75
If the quotient is a whole number, then 4 and 53,080,252.75 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 | 212,321,011 | |
| -1 | 212,321,011 |
If you did it right, you will end up with this table:
| 1 | 7 | 73 | 113 | 511 | 791 | 3,677 | 8,249 | 25,739 | 57,743 | 268,421 | 415,501 | 1,878,947 | 2,908,507 | 30,331,573 | 212,321,011 |
| -1 | -7 | -73 | -113 | -511 | -791 | -3,677 | -8,249 | -25,739 | -57,743 | -268,421 | -415,501 | -1,878,947 | -2,908,507 | -30,331,573 | -212,321,011 |
Here are some more numbers to try:
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