A:
Positive:
1 x 310111455 x 620222911 x 281919517 x 182418555 x 56383985 x 364837187 x 165835289 x 107305935 x 331671445 x 214611951 x 158953179 x 9755
Negative:
-1 x -31011145-5 x -6202229-11 x -2819195-17 x -1824185-55 x -563839-85 x -364837-187 x -165835-289 x -107305-935 x -33167-1445 x -21461-1951 x -15895-3179 x -9755
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 31,011,145, 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 | 31,011,145 | |
| -1 | -31,011,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,011,145.
Example:
1 x 31,011,145 = 31,011,145
and
-1 x -31,011,145 = 31,011,145
Notice both answers equal 31,011,145
With that explanation out of the way, let's continue. Next, we take the number 31,011,145 and divide it by 2:
31,011,145 ÷ 2 = 15,505,572.5
If the quotient is a whole number, then 2 and 15,505,572.5 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 | 31,011,145 | |
| -1 | -31,011,145 |
Now, we try dividing 31,011,145 by 3:
31,011,145 ÷ 3 = 10,337,048.3333
If the quotient is a whole number, then 3 and 10,337,048.3333 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 | 31,011,145 | |
| -1 | -31,011,145 |
Let's try dividing by 4:
31,011,145 ÷ 4 = 7,752,786.25
If the quotient is a whole number, then 4 and 7,752,786.25 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 | 31,011,145 | |
| -1 | 31,011,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 55 | 85 | 187 | 289 | 935 | 1,445 | 1,951 | 3,179 | 9,755 | 15,895 | 21,461 | 33,167 | 107,305 | 165,835 | 364,837 | 563,839 | 1,824,185 | 2,819,195 | 6,202,229 | 31,011,145 |
| -1 | -5 | -11 | -17 | -55 | -85 | -187 | -289 | -935 | -1,445 | -1,951 | -3,179 | -9,755 | -15,895 | -21,461 | -33,167 | -107,305 | -165,835 | -364,837 | -563,839 | -1,824,185 | -2,819,195 | -6,202,229 | -31,011,145 |
Here are some more numbers to try:
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