A:
Positive:
1 x 304134677 x 434478149 x 62068353 x 573839239 x 127253343 x 88669371 x 819771673 x 181792401 x 126672597 x 11711
Negative:
-1 x -30413467-7 x -4344781-49 x -620683-53 x -573839-239 x -127253-343 x -88669-371 x -81977-1673 x -18179-2401 x -12667-2597 x -11711
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 30,413,467, 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 | 30,413,467 | |
| -1 | -30,413,467 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,413,467.
Example:
1 x 30,413,467 = 30,413,467
and
-1 x -30,413,467 = 30,413,467
Notice both answers equal 30,413,467
With that explanation out of the way, let's continue. Next, we take the number 30,413,467 and divide it by 2:
30,413,467 ÷ 2 = 15,206,733.5
If the quotient is a whole number, then 2 and 15,206,733.5 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 | 30,413,467 | |
| -1 | -30,413,467 |
Now, we try dividing 30,413,467 by 3:
30,413,467 ÷ 3 = 10,137,822.3333
If the quotient is a whole number, then 3 and 10,137,822.3333 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 | 30,413,467 | |
| -1 | -30,413,467 |
Let's try dividing by 4:
30,413,467 ÷ 4 = 7,603,366.75
If the quotient is a whole number, then 4 and 7,603,366.75 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 | 30,413,467 | |
| -1 | 30,413,467 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 53 | 239 | 343 | 371 | 1,673 | 2,401 | 2,597 | 11,711 | 12,667 | 18,179 | 81,977 | 88,669 | 127,253 | 573,839 | 620,683 | 4,344,781 | 30,413,467 |
| -1 | -7 | -49 | -53 | -239 | -343 | -371 | -1,673 | -2,401 | -2,597 | -11,711 | -12,667 | -18,179 | -81,977 | -88,669 | -127,253 | -573,839 | -620,683 | -4,344,781 | -30,413,467 |
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