A:
Positive:
1 x 4080631317 x 5829473349 x 832781989 x 4584979137 x 2978563623 x 654997683 x 597457959 x 4255094361 x 935714781 x 853516713 x 6078712193 x 33467
Negative:
-1 x -408063131-7 x -58294733-49 x -8327819-89 x -4584979-137 x -2978563-623 x -654997-683 x -597457-959 x -425509-4361 x -93571-4781 x -85351-6713 x -60787-12193 x -33467
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 408,063,131, 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 | 408,063,131 | |
| -1 | -408,063,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 408,063,131.
Example:
1 x 408,063,131 = 408,063,131
and
-1 x -408,063,131 = 408,063,131
Notice both answers equal 408,063,131
With that explanation out of the way, let's continue. Next, we take the number 408,063,131 and divide it by 2:
408,063,131 ÷ 2 = 204,031,565.5
If the quotient is a whole number, then 2 and 204,031,565.5 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 | 408,063,131 | |
| -1 | -408,063,131 |
Now, we try dividing 408,063,131 by 3:
408,063,131 ÷ 3 = 136,021,043.6667
If the quotient is a whole number, then 3 and 136,021,043.6667 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 | 408,063,131 | |
| -1 | -408,063,131 |
Let's try dividing by 4:
408,063,131 ÷ 4 = 102,015,782.75
If the quotient is a whole number, then 4 and 102,015,782.75 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 | 408,063,131 | |
| -1 | 408,063,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 89 | 137 | 623 | 683 | 959 | 4,361 | 4,781 | 6,713 | 12,193 | 33,467 | 60,787 | 85,351 | 93,571 | 425,509 | 597,457 | 654,997 | 2,978,563 | 4,584,979 | 8,327,819 | 58,294,733 | 408,063,131 |
| -1 | -7 | -49 | -89 | -137 | -623 | -683 | -959 | -4,361 | -4,781 | -6,713 | -12,193 | -33,467 | -60,787 | -85,351 | -93,571 | -425,509 | -597,457 | -654,997 | -2,978,563 | -4,584,979 | -8,327,819 | -58,294,733 | -408,063,131 |
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