A:
Positive:
1 x 305032217 x 435760323 x 132622741 x 743981161 x 189461287 x 106283943 x 323474621 x 6601
Negative:
-1 x -30503221-7 x -4357603-23 x -1326227-41 x -743981-161 x -189461-287 x -106283-943 x -32347-4621 x -6601
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 30,503,221, 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 | 30,503,221 | |
| -1 | -30,503,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,503,221.
Example:
1 x 30,503,221 = 30,503,221
and
-1 x -30,503,221 = 30,503,221
Notice both answers equal 30,503,221
With that explanation out of the way, let's continue. Next, we take the number 30,503,221 and divide it by 2:
30,503,221 ÷ 2 = 15,251,610.5
If the quotient is a whole number, then 2 and 15,251,610.5 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 | 30,503,221 | |
| -1 | -30,503,221 |
Now, we try dividing 30,503,221 by 3:
30,503,221 ÷ 3 = 10,167,740.3333
If the quotient is a whole number, then 3 and 10,167,740.3333 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 | 30,503,221 | |
| -1 | -30,503,221 |
Let's try dividing by 4:
30,503,221 ÷ 4 = 7,625,805.25
If the quotient is a whole number, then 4 and 7,625,805.25 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 | 30,503,221 | |
| -1 | 30,503,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 41 | 161 | 287 | 943 | 4,621 | 6,601 | 32,347 | 106,283 | 189,461 | 743,981 | 1,326,227 | 4,357,603 | 30,503,221 |
| -1 | -7 | -23 | -41 | -161 | -287 | -943 | -4,621 | -6,601 | -32,347 | -106,283 | -189,461 | -743,981 | -1,326,227 | -4,357,603 | -30,503,221 |
Here are some more numbers to try:
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