A:
Positive:
1 x 312161755 x 624323523 x 135722525 x 1248647115 x 271445233 x 133975575 x 542891165 x 267955359 x 5825
Negative:
-1 x -31216175-5 x -6243235-23 x -1357225-25 x -1248647-115 x -271445-233 x -133975-575 x -54289-1165 x -26795-5359 x -5825
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 31,216,175, 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 | 31,216,175 | |
| -1 | -31,216,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,216,175.
Example:
1 x 31,216,175 = 31,216,175
and
-1 x -31,216,175 = 31,216,175
Notice both answers equal 31,216,175
With that explanation out of the way, let's continue. Next, we take the number 31,216,175 and divide it by 2:
31,216,175 ÷ 2 = 15,608,087.5
If the quotient is a whole number, then 2 and 15,608,087.5 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 | 31,216,175 | |
| -1 | -31,216,175 |
Now, we try dividing 31,216,175 by 3:
31,216,175 ÷ 3 = 10,405,391.6667
If the quotient is a whole number, then 3 and 10,405,391.6667 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 | 31,216,175 | |
| -1 | -31,216,175 |
Let's try dividing by 4:
31,216,175 ÷ 4 = 7,804,043.75
If the quotient is a whole number, then 4 and 7,804,043.75 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 | 31,216,175 | |
| -1 | 31,216,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 233 | 575 | 1,165 | 5,359 | 5,825 | 26,795 | 54,289 | 133,975 | 271,445 | 1,248,647 | 1,357,225 | 6,243,235 | 31,216,175 |
| -1 | -5 | -23 | -25 | -115 | -233 | -575 | -1,165 | -5,359 | -5,825 | -26,795 | -54,289 | -133,975 | -271,445 | -1,248,647 | -1,357,225 | -6,243,235 | -31,216,175 |
Here are some more numbers to try:
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