A:
Positive:
1 x 1322153217 x 1888790329 x 455914967 x 1973363203 x 651307469 x 2819091943 x 680479721 x 13601
Negative:
-1 x -132215321-7 x -18887903-29 x -4559149-67 x -1973363-203 x -651307-469 x -281909-1943 x -68047-9721 x -13601
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 132,215,321, 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 | 132,215,321 | |
| -1 | -132,215,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 132,215,321.
Example:
1 x 132,215,321 = 132,215,321
and
-1 x -132,215,321 = 132,215,321
Notice both answers equal 132,215,321
With that explanation out of the way, let's continue. Next, we take the number 132,215,321 and divide it by 2:
132,215,321 ÷ 2 = 66,107,660.5
If the quotient is a whole number, then 2 and 66,107,660.5 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 | 132,215,321 | |
| -1 | -132,215,321 |
Now, we try dividing 132,215,321 by 3:
132,215,321 ÷ 3 = 44,071,773.6667
If the quotient is a whole number, then 3 and 44,071,773.6667 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 | 132,215,321 | |
| -1 | -132,215,321 |
Let's try dividing by 4:
132,215,321 ÷ 4 = 33,053,830.25
If the quotient is a whole number, then 4 and 33,053,830.25 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 | 132,215,321 | |
| -1 | 132,215,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 67 | 203 | 469 | 1,943 | 9,721 | 13,601 | 68,047 | 281,909 | 651,307 | 1,973,363 | 4,559,149 | 18,887,903 | 132,215,321 |
| -1 | -7 | -29 | -67 | -203 | -469 | -1,943 | -9,721 | -13,601 | -68,047 | -281,909 | -651,307 | -1,973,363 | -4,559,149 | -18,887,903 | -132,215,321 |
Here are some more numbers to try:
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