A:
Positive:
1 x 4110723111 x 373702189 x 461879199 x 206569211 x 194821979 x 419892189 x 187792321 x 17711
Negative:
-1 x -41107231-11 x -3737021-89 x -461879-199 x -206569-211 x -194821-979 x -41989-2189 x -18779-2321 x -17711
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 41,107,231, 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 | 41,107,231 | |
| -1 | -41,107,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,107,231.
Example:
1 x 41,107,231 = 41,107,231
and
-1 x -41,107,231 = 41,107,231
Notice both answers equal 41,107,231
With that explanation out of the way, let's continue. Next, we take the number 41,107,231 and divide it by 2:
41,107,231 ÷ 2 = 20,553,615.5
If the quotient is a whole number, then 2 and 20,553,615.5 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 | 41,107,231 | |
| -1 | -41,107,231 |
Now, we try dividing 41,107,231 by 3:
41,107,231 ÷ 3 = 13,702,410.3333
If the quotient is a whole number, then 3 and 13,702,410.3333 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 | 41,107,231 | |
| -1 | -41,107,231 |
Let's try dividing by 4:
41,107,231 ÷ 4 = 10,276,807.75
If the quotient is a whole number, then 4 and 10,276,807.75 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 | 41,107,231 | |
| -1 | 41,107,231 |
If you did it right, you will end up with this table:
| 1 | 11 | 89 | 199 | 211 | 979 | 2,189 | 2,321 | 17,711 | 18,779 | 41,989 | 194,821 | 206,569 | 461,879 | 3,737,021 | 41,107,231 |
| -1 | -11 | -89 | -199 | -211 | -979 | -2,189 | -2,321 | -17,711 | -18,779 | -41,989 | -194,821 | -206,569 | -461,879 | -3,737,021 | -41,107,231 |
Here are some more numbers to try:
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