A:
Positive:
1 x 2123221037 x 30331729179 x 1186157239 x 888377709 x 2994671253 x 1694511673 x 1269114963 x 42781
Negative:
-1 x -212322103-7 x -30331729-179 x -1186157-239 x -888377-709 x -299467-1253 x -169451-1673 x -126911-4963 x -42781
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 212,322,103, 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 | 212,322,103 | |
| -1 | -212,322,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,322,103.
Example:
1 x 212,322,103 = 212,322,103
and
-1 x -212,322,103 = 212,322,103
Notice both answers equal 212,322,103
With that explanation out of the way, let's continue. Next, we take the number 212,322,103 and divide it by 2:
212,322,103 ÷ 2 = 106,161,051.5
If the quotient is a whole number, then 2 and 106,161,051.5 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 | 212,322,103 | |
| -1 | -212,322,103 |
Now, we try dividing 212,322,103 by 3:
212,322,103 ÷ 3 = 70,774,034.3333
If the quotient is a whole number, then 3 and 70,774,034.3333 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 | 212,322,103 | |
| -1 | -212,322,103 |
Let's try dividing by 4:
212,322,103 ÷ 4 = 53,080,525.75
If the quotient is a whole number, then 4 and 53,080,525.75 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 | 212,322,103 | |
| -1 | 212,322,103 |
If you did it right, you will end up with this table:
| 1 | 7 | 179 | 239 | 709 | 1,253 | 1,673 | 4,963 | 42,781 | 126,911 | 169,451 | 299,467 | 888,377 | 1,186,157 | 30,331,729 | 212,322,103 |
| -1 | -7 | -179 | -239 | -709 | -1,253 | -1,673 | -4,963 | -42,781 | -126,911 | -169,451 | -299,467 | -888,377 | -1,186,157 | -30,331,729 | -212,322,103 |
Here are some more numbers to try:
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