A:
Positive:
1 x 31513504113 x 24241157131 x 2405611211 x 1493531877 x 3593331703 x 1850472743 x 11488711401 x 27641
Negative:
-1 x -315135041-13 x -24241157-131 x -2405611-211 x -1493531-877 x -359333-1703 x -185047-2743 x -114887-11401 x -27641
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 315,135,041, 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 | 315,135,041 | |
| -1 | -315,135,041 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,135,041.
Example:
1 x 315,135,041 = 315,135,041
and
-1 x -315,135,041 = 315,135,041
Notice both answers equal 315,135,041
With that explanation out of the way, let's continue. Next, we take the number 315,135,041 and divide it by 2:
315,135,041 ÷ 2 = 157,567,520.5
If the quotient is a whole number, then 2 and 157,567,520.5 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 | 315,135,041 | |
| -1 | -315,135,041 |
Now, we try dividing 315,135,041 by 3:
315,135,041 ÷ 3 = 105,045,013.6667
If the quotient is a whole number, then 3 and 105,045,013.6667 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 | 315,135,041 | |
| -1 | -315,135,041 |
Let's try dividing by 4:
315,135,041 ÷ 4 = 78,783,760.25
If the quotient is a whole number, then 4 and 78,783,760.25 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 | 315,135,041 | |
| -1 | 315,135,041 |
If you did it right, you will end up with this table:
| 1 | 13 | 131 | 211 | 877 | 1,703 | 2,743 | 11,401 | 27,641 | 114,887 | 185,047 | 359,333 | 1,493,531 | 2,405,611 | 24,241,157 | 315,135,041 |
| -1 | -13 | -131 | -211 | -877 | -1,703 | -2,743 | -11,401 | -27,641 | -114,887 | -185,047 | -359,333 | -1,493,531 | -2,405,611 | -24,241,157 | -315,135,041 |
Here are some more numbers to try:
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