A:
Positive:
1 x 20050037 x 28642911 x 18227313 x 15423177 x 2603991 x 22033143 x 140211001 x 2003
Negative:
-1 x -2005003-7 x -286429-11 x -182273-13 x -154231-77 x -26039-91 x -22033-143 x -14021-1001 x -2003
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 2,005,003, 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 | 2,005,003 | |
| -1 | -2,005,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,005,003.
Example:
1 x 2,005,003 = 2,005,003
and
-1 x -2,005,003 = 2,005,003
Notice both answers equal 2,005,003
With that explanation out of the way, let's continue. Next, we take the number 2,005,003 and divide it by 2:
2,005,003 ÷ 2 = 1,002,501.5
If the quotient is a whole number, then 2 and 1,002,501.5 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 | 2,005,003 | |
| -1 | -2,005,003 |
Now, we try dividing 2,005,003 by 3:
2,005,003 ÷ 3 = 668,334.3333
If the quotient is a whole number, then 3 and 668,334.3333 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 | 2,005,003 | |
| -1 | -2,005,003 |
Let's try dividing by 4:
2,005,003 ÷ 4 = 501,250.75
If the quotient is a whole number, then 4 and 501,250.75 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 | 2,005,003 | |
| -1 | 2,005,003 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 2,003 | 14,021 | 22,033 | 26,039 | 154,231 | 182,273 | 286,429 | 2,005,003 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -2,003 | -14,021 | -22,033 | -26,039 | -154,231 | -182,273 | -286,429 | -2,005,003 |
Here are some more numbers to try:
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