A:
Positive:
1 x 41002155 x 8200437 x 58574531 x 13226535 x 117149155 x 26453217 x 188951085 x 3779
Negative:
-1 x -4100215-5 x -820043-7 x -585745-31 x -132265-35 x -117149-155 x -26453-217 x -18895-1085 x -3779
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 4,100,215, 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 | 4,100,215 | |
| -1 | -4,100,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,100,215.
Example:
1 x 4,100,215 = 4,100,215
and
-1 x -4,100,215 = 4,100,215
Notice both answers equal 4,100,215
With that explanation out of the way, let's continue. Next, we take the number 4,100,215 and divide it by 2:
4,100,215 ÷ 2 = 2,050,107.5
If the quotient is a whole number, then 2 and 2,050,107.5 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 | 4,100,215 | |
| -1 | -4,100,215 |
Now, we try dividing 4,100,215 by 3:
4,100,215 ÷ 3 = 1,366,738.3333
If the quotient is a whole number, then 3 and 1,366,738.3333 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 | 4,100,215 | |
| -1 | -4,100,215 |
Let's try dividing by 4:
4,100,215 ÷ 4 = 1,025,053.75
If the quotient is a whole number, then 4 and 1,025,053.75 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 | 4,100,215 | |
| -1 | 4,100,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 31 | 35 | 155 | 217 | 1,085 | 3,779 | 18,895 | 26,453 | 117,149 | 132,265 | 585,745 | 820,043 | 4,100,215 |
| -1 | -5 | -7 | -31 | -35 | -155 | -217 | -1,085 | -3,779 | -18,895 | -26,453 | -117,149 | -132,265 | -585,745 | -820,043 | -4,100,215 |
Here are some more numbers to try:
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