A:
Positive:
1 x 3141040111 x 285549119 x 1653179137 x 229273209 x 1502891097 x 286331507 x 208432603 x 12067
Negative:
-1 x -31410401-11 x -2855491-19 x -1653179-137 x -229273-209 x -150289-1097 x -28633-1507 x -20843-2603 x -12067
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 31,410,401, 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 | 31,410,401 | |
| -1 | -31,410,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,410,401.
Example:
1 x 31,410,401 = 31,410,401
and
-1 x -31,410,401 = 31,410,401
Notice both answers equal 31,410,401
With that explanation out of the way, let's continue. Next, we take the number 31,410,401 and divide it by 2:
31,410,401 ÷ 2 = 15,705,200.5
If the quotient is a whole number, then 2 and 15,705,200.5 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 | 31,410,401 | |
| -1 | -31,410,401 |
Now, we try dividing 31,410,401 by 3:
31,410,401 ÷ 3 = 10,470,133.6667
If the quotient is a whole number, then 3 and 10,470,133.6667 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 | 31,410,401 | |
| -1 | -31,410,401 |
Let's try dividing by 4:
31,410,401 ÷ 4 = 7,852,600.25
If the quotient is a whole number, then 4 and 7,852,600.25 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 | 31,410,401 | |
| -1 | 31,410,401 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 137 | 209 | 1,097 | 1,507 | 2,603 | 12,067 | 20,843 | 28,633 | 150,289 | 229,273 | 1,653,179 | 2,855,491 | 31,410,401 |
| -1 | -11 | -19 | -137 | -209 | -1,097 | -1,507 | -2,603 | -12,067 | -20,843 | -28,633 | -150,289 | -229,273 | -1,653,179 | -2,855,491 | -31,410,401 |
Here are some more numbers to try:
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