A:
Positive:
1 x 301294917 x 430421317 x 177232347 x 641053119 x 253189329 x 91579799 x 377095387 x 5593
Negative:
-1 x -30129491-7 x -4304213-17 x -1772323-47 x -641053-119 x -253189-329 x -91579-799 x -37709-5387 x -5593
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 30,129,491, 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 | 30,129,491 | |
| -1 | -30,129,491 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,129,491.
Example:
1 x 30,129,491 = 30,129,491
and
-1 x -30,129,491 = 30,129,491
Notice both answers equal 30,129,491
With that explanation out of the way, let's continue. Next, we take the number 30,129,491 and divide it by 2:
30,129,491 ÷ 2 = 15,064,745.5
If the quotient is a whole number, then 2 and 15,064,745.5 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 | 30,129,491 | |
| -1 | -30,129,491 |
Now, we try dividing 30,129,491 by 3:
30,129,491 ÷ 3 = 10,043,163.6667
If the quotient is a whole number, then 3 and 10,043,163.6667 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 | 30,129,491 | |
| -1 | -30,129,491 |
Let's try dividing by 4:
30,129,491 ÷ 4 = 7,532,372.75
If the quotient is a whole number, then 4 and 7,532,372.75 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 | 30,129,491 | |
| -1 | 30,129,491 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 47 | 119 | 329 | 799 | 5,387 | 5,593 | 37,709 | 91,579 | 253,189 | 641,053 | 1,772,323 | 4,304,213 | 30,129,491 |
| -1 | -7 | -17 | -47 | -119 | -329 | -799 | -5,387 | -5,593 | -37,709 | -91,579 | -253,189 | -641,053 | -1,772,323 | -4,304,213 | -30,129,491 |
Here are some more numbers to try:
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