A:
Positive:
1 x 2123101337 x 30330019137 x 1549709269 x 789257823 x 257971959 x 2213871883 x 1127515761 x 36853
Negative:
-1 x -212310133-7 x -30330019-137 x -1549709-269 x -789257-823 x -257971-959 x -221387-1883 x -112751-5761 x -36853
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 212,310,133, 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 | 212,310,133 | |
| -1 | -212,310,133 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,310,133.
Example:
1 x 212,310,133 = 212,310,133
and
-1 x -212,310,133 = 212,310,133
Notice both answers equal 212,310,133
With that explanation out of the way, let's continue. Next, we take the number 212,310,133 and divide it by 2:
212,310,133 ÷ 2 = 106,155,066.5
If the quotient is a whole number, then 2 and 106,155,066.5 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 | 212,310,133 | |
| -1 | -212,310,133 |
Now, we try dividing 212,310,133 by 3:
212,310,133 ÷ 3 = 70,770,044.3333
If the quotient is a whole number, then 3 and 70,770,044.3333 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 | 212,310,133 | |
| -1 | -212,310,133 |
Let's try dividing by 4:
212,310,133 ÷ 4 = 53,077,533.25
If the quotient is a whole number, then 4 and 53,077,533.25 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 | 212,310,133 | |
| -1 | 212,310,133 |
If you did it right, you will end up with this table:
| 1 | 7 | 137 | 269 | 823 | 959 | 1,883 | 5,761 | 36,853 | 112,751 | 221,387 | 257,971 | 789,257 | 1,549,709 | 30,330,019 | 212,310,133 |
| -1 | -7 | -137 | -269 | -823 | -959 | -1,883 | -5,761 | -36,853 | -112,751 | -221,387 | -257,971 | -789,257 | -1,549,709 | -30,330,019 | -212,310,133 |
Here are some more numbers to try:
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