A:
Positive:
1 x 21010455 x 42020937 x 5678541 x 51245185 x 11357205 x 10249277 x 75851385 x 1517
Negative:
-1 x -2101045-5 x -420209-37 x -56785-41 x -51245-185 x -11357-205 x -10249-277 x -7585-1385 x -1517
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 2,101,045, 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 | 2,101,045 | |
| -1 | -2,101,045 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,101,045.
Example:
1 x 2,101,045 = 2,101,045
and
-1 x -2,101,045 = 2,101,045
Notice both answers equal 2,101,045
With that explanation out of the way, let's continue. Next, we take the number 2,101,045 and divide it by 2:
2,101,045 ÷ 2 = 1,050,522.5
If the quotient is a whole number, then 2 and 1,050,522.5 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 | 2,101,045 | |
| -1 | -2,101,045 |
Now, we try dividing 2,101,045 by 3:
2,101,045 ÷ 3 = 700,348.3333
If the quotient is a whole number, then 3 and 700,348.3333 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 | 2,101,045 | |
| -1 | -2,101,045 |
Let's try dividing by 4:
2,101,045 ÷ 4 = 525,261.25
If the quotient is a whole number, then 4 and 525,261.25 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 | 2,101,045 | |
| -1 | 2,101,045 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 41 | 185 | 205 | 277 | 1,385 | 1,517 | 7,585 | 10,249 | 11,357 | 51,245 | 56,785 | 420,209 | 2,101,045 |
| -1 | -5 | -37 | -41 | -185 | -205 | -277 | -1,385 | -1,517 | -7,585 | -10,249 | -11,357 | -51,245 | -56,785 | -420,209 | -2,101,045 |
Here are some more numbers to try:
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