A:
Positive:
1 x 300034217 x 428620383 x 361487113 x 265517457 x 65653581 x 51641791 x 379313199 x 9379
Negative:
-1 x -30003421-7 x -4286203-83 x -361487-113 x -265517-457 x -65653-581 x -51641-791 x -37931-3199 x -9379
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 30,003,421, 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 | 30,003,421 | |
| -1 | -30,003,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,003,421.
Example:
1 x 30,003,421 = 30,003,421
and
-1 x -30,003,421 = 30,003,421
Notice both answers equal 30,003,421
With that explanation out of the way, let's continue. Next, we take the number 30,003,421 and divide it by 2:
30,003,421 ÷ 2 = 15,001,710.5
If the quotient is a whole number, then 2 and 15,001,710.5 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 | 30,003,421 | |
| -1 | -30,003,421 |
Now, we try dividing 30,003,421 by 3:
30,003,421 ÷ 3 = 10,001,140.3333
If the quotient is a whole number, then 3 and 10,001,140.3333 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 | 30,003,421 | |
| -1 | -30,003,421 |
Let's try dividing by 4:
30,003,421 ÷ 4 = 7,500,855.25
If the quotient is a whole number, then 4 and 7,500,855.25 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 | 30,003,421 | |
| -1 | 30,003,421 |
If you did it right, you will end up with this table:
| 1 | 7 | 83 | 113 | 457 | 581 | 791 | 3,199 | 9,379 | 37,931 | 51,641 | 65,653 | 265,517 | 361,487 | 4,286,203 | 30,003,421 |
| -1 | -7 | -83 | -113 | -457 | -581 | -791 | -3,199 | -9,379 | -37,931 | -51,641 | -65,653 | -265,517 | -361,487 | -4,286,203 | -30,003,421 |
Here are some more numbers to try:
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