A:
Positive:
1 x 3113232111 x 283021117 x 1831313187 x 166483229 x 135949727 x 428232519 x 123593893 x 7997
Negative:
-1 x -31132321-11 x -2830211-17 x -1831313-187 x -166483-229 x -135949-727 x -42823-2519 x -12359-3893 x -7997
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 31,132,321, 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 | 31,132,321 | |
| -1 | -31,132,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,132,321.
Example:
1 x 31,132,321 = 31,132,321
and
-1 x -31,132,321 = 31,132,321
Notice both answers equal 31,132,321
With that explanation out of the way, let's continue. Next, we take the number 31,132,321 and divide it by 2:
31,132,321 ÷ 2 = 15,566,160.5
If the quotient is a whole number, then 2 and 15,566,160.5 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 | 31,132,321 | |
| -1 | -31,132,321 |
Now, we try dividing 31,132,321 by 3:
31,132,321 ÷ 3 = 10,377,440.3333
If the quotient is a whole number, then 3 and 10,377,440.3333 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 | 31,132,321 | |
| -1 | -31,132,321 |
Let's try dividing by 4:
31,132,321 ÷ 4 = 7,783,080.25
If the quotient is a whole number, then 4 and 7,783,080.25 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 | 31,132,321 | |
| -1 | 31,132,321 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 229 | 727 | 2,519 | 3,893 | 7,997 | 12,359 | 42,823 | 135,949 | 166,483 | 1,831,313 | 2,830,211 | 31,132,321 |
| -1 | -11 | -17 | -187 | -229 | -727 | -2,519 | -3,893 | -7,997 | -12,359 | -42,823 | -135,949 | -166,483 | -1,831,313 | -2,830,211 | -31,132,321 |
Here are some more numbers to try:
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