A:
Positive:
1 x 40041055 x 8008217 x 57201535 x 114403233 x 17185491 x 81551165 x 34371631 x 2455
Negative:
-1 x -4004105-5 x -800821-7 x -572015-35 x -114403-233 x -17185-491 x -8155-1165 x -3437-1631 x -2455
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 4,004,105, 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 | 4,004,105 | |
| -1 | -4,004,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,004,105.
Example:
1 x 4,004,105 = 4,004,105
and
-1 x -4,004,105 = 4,004,105
Notice both answers equal 4,004,105
With that explanation out of the way, let's continue. Next, we take the number 4,004,105 and divide it by 2:
4,004,105 ÷ 2 = 2,002,052.5
If the quotient is a whole number, then 2 and 2,002,052.5 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 | 4,004,105 | |
| -1 | -4,004,105 |
Now, we try dividing 4,004,105 by 3:
4,004,105 ÷ 3 = 1,334,701.6667
If the quotient is a whole number, then 3 and 1,334,701.6667 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 | 4,004,105 | |
| -1 | -4,004,105 |
Let's try dividing by 4:
4,004,105 ÷ 4 = 1,001,026.25
If the quotient is a whole number, then 4 and 1,001,026.25 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 | 4,004,105 | |
| -1 | 4,004,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 233 | 491 | 1,165 | 1,631 | 2,455 | 3,437 | 8,155 | 17,185 | 114,403 | 572,015 | 800,821 | 4,004,105 |
| -1 | -5 | -7 | -35 | -233 | -491 | -1,165 | -1,631 | -2,455 | -3,437 | -8,155 | -17,185 | -114,403 | -572,015 | -800,821 | -4,004,105 |
Here are some more numbers to try:
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