A:
Positive:
1 x 2132321037 x 3046172923 x 927096141 x 5200783161 x 1324423287 x 742969943 x 2261216601 x 32303
Negative:
-1 x -213232103-7 x -30461729-23 x -9270961-41 x -5200783-161 x -1324423-287 x -742969-943 x -226121-6601 x -32303
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 213,232,103, 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 | 213,232,103 | |
| -1 | -213,232,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,232,103.
Example:
1 x 213,232,103 = 213,232,103
and
-1 x -213,232,103 = 213,232,103
Notice both answers equal 213,232,103
With that explanation out of the way, let's continue. Next, we take the number 213,232,103 and divide it by 2:
213,232,103 ÷ 2 = 106,616,051.5
If the quotient is a whole number, then 2 and 106,616,051.5 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 | 213,232,103 | |
| -1 | -213,232,103 |
Now, we try dividing 213,232,103 by 3:
213,232,103 ÷ 3 = 71,077,367.6667
If the quotient is a whole number, then 3 and 71,077,367.6667 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 | 213,232,103 | |
| -1 | -213,232,103 |
Let's try dividing by 4:
213,232,103 ÷ 4 = 53,308,025.75
If the quotient is a whole number, then 4 and 53,308,025.75 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 | 213,232,103 | |
| -1 | 213,232,103 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 41 | 161 | 287 | 943 | 6,601 | 32,303 | 226,121 | 742,969 | 1,324,423 | 5,200,783 | 9,270,961 | 30,461,729 | 213,232,103 |
| -1 | -7 | -23 | -41 | -161 | -287 | -943 | -6,601 | -32,303 | -226,121 | -742,969 | -1,324,423 | -5,200,783 | -9,270,961 | -30,461,729 | -213,232,103 |
Here are some more numbers to try:
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