A:
Positive:
1 x 21132237 x 30188949 x 4312761 x 34643101 x 20923343 x 6161427 x 4949707 x 2989
Negative:
-1 x -2113223-7 x -301889-49 x -43127-61 x -34643-101 x -20923-343 x -6161-427 x -4949-707 x -2989
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 2,113,223, 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 | 2,113,223 | |
| -1 | -2,113,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,113,223.
Example:
1 x 2,113,223 = 2,113,223
and
-1 x -2,113,223 = 2,113,223
Notice both answers equal 2,113,223
With that explanation out of the way, let's continue. Next, we take the number 2,113,223 and divide it by 2:
2,113,223 ÷ 2 = 1,056,611.5
If the quotient is a whole number, then 2 and 1,056,611.5 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 | 2,113,223 | |
| -1 | -2,113,223 |
Now, we try dividing 2,113,223 by 3:
2,113,223 ÷ 3 = 704,407.6667
If the quotient is a whole number, then 3 and 704,407.6667 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 | 2,113,223 | |
| -1 | -2,113,223 |
Let's try dividing by 4:
2,113,223 ÷ 4 = 528,305.75
If the quotient is a whole number, then 4 and 528,305.75 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 | 2,113,223 | |
| -1 | 2,113,223 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 61 | 101 | 343 | 427 | 707 | 2,989 | 4,949 | 6,161 | 20,923 | 34,643 | 43,127 | 301,889 | 2,113,223 |
| -1 | -7 | -49 | -61 | -101 | -343 | -427 | -707 | -2,989 | -4,949 | -6,161 | -20,923 | -34,643 | -43,127 | -301,889 | -2,113,223 |
Here are some more numbers to try:
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