A:
Positive:
1 x 301231155 x 602462311 x 273846555 x 547693677 x 44495809 x 372353385 x 88994045 x 7447
Negative:
-1 x -30123115-5 x -6024623-11 x -2738465-55 x -547693-677 x -44495-809 x -37235-3385 x -8899-4045 x -7447
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 30,123,115, 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 | 30,123,115 | |
| -1 | -30,123,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,123,115.
Example:
1 x 30,123,115 = 30,123,115
and
-1 x -30,123,115 = 30,123,115
Notice both answers equal 30,123,115
With that explanation out of the way, let's continue. Next, we take the number 30,123,115 and divide it by 2:
30,123,115 ÷ 2 = 15,061,557.5
If the quotient is a whole number, then 2 and 15,061,557.5 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 | 30,123,115 | |
| -1 | -30,123,115 |
Now, we try dividing 30,123,115 by 3:
30,123,115 ÷ 3 = 10,041,038.3333
If the quotient is a whole number, then 3 and 10,041,038.3333 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 | 30,123,115 | |
| -1 | -30,123,115 |
Let's try dividing by 4:
30,123,115 ÷ 4 = 7,530,778.75
If the quotient is a whole number, then 4 and 7,530,778.75 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 | 30,123,115 | |
| -1 | 30,123,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 677 | 809 | 3,385 | 4,045 | 7,447 | 8,899 | 37,235 | 44,495 | 547,693 | 2,738,465 | 6,024,623 | 30,123,115 |
| -1 | -5 | -11 | -55 | -677 | -809 | -3,385 | -4,045 | -7,447 | -8,899 | -37,235 | -44,495 | -547,693 | -2,738,465 | -6,024,623 | -30,123,115 |
Here are some more numbers to try:
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