A:
Positive:
1 x 312120417 x 445886319 x 1642739109 x 286349133 x 234677763 x 409072071 x 150712153 x 14497
Negative:
-1 x -31212041-7 x -4458863-19 x -1642739-109 x -286349-133 x -234677-763 x -40907-2071 x -15071-2153 x -14497
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 31,212,041, 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 | 31,212,041 | |
| -1 | -31,212,041 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,212,041.
Example:
1 x 31,212,041 = 31,212,041
and
-1 x -31,212,041 = 31,212,041
Notice both answers equal 31,212,041
With that explanation out of the way, let's continue. Next, we take the number 31,212,041 and divide it by 2:
31,212,041 ÷ 2 = 15,606,020.5
If the quotient is a whole number, then 2 and 15,606,020.5 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 | 31,212,041 | |
| -1 | -31,212,041 |
Now, we try dividing 31,212,041 by 3:
31,212,041 ÷ 3 = 10,404,013.6667
If the quotient is a whole number, then 3 and 10,404,013.6667 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 | 31,212,041 | |
| -1 | -31,212,041 |
Let's try dividing by 4:
31,212,041 ÷ 4 = 7,803,010.25
If the quotient is a whole number, then 4 and 7,803,010.25 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 | 31,212,041 | |
| -1 | 31,212,041 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 109 | 133 | 763 | 2,071 | 2,153 | 14,497 | 15,071 | 40,907 | 234,677 | 286,349 | 1,642,739 | 4,458,863 | 31,212,041 |
| -1 | -7 | -19 | -109 | -133 | -763 | -2,071 | -2,153 | -14,497 | -15,071 | -40,907 | -234,677 | -286,349 | -1,642,739 | -4,458,863 | -31,212,041 |
Here are some more numbers to try:
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