A:
Positive:
1 x 301212317 x 430303349 x 614719137 x 219863343 x 87817641 x 46991959 x 314094487 x 6713
Negative:
-1 x -30121231-7 x -4303033-49 x -614719-137 x -219863-343 x -87817-641 x -46991-959 x -31409-4487 x -6713
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 30,121,231, 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 | 30,121,231 | |
| -1 | -30,121,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,121,231.
Example:
1 x 30,121,231 = 30,121,231
and
-1 x -30,121,231 = 30,121,231
Notice both answers equal 30,121,231
With that explanation out of the way, let's continue. Next, we take the number 30,121,231 and divide it by 2:
30,121,231 ÷ 2 = 15,060,615.5
If the quotient is a whole number, then 2 and 15,060,615.5 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 | 30,121,231 | |
| -1 | -30,121,231 |
Now, we try dividing 30,121,231 by 3:
30,121,231 ÷ 3 = 10,040,410.3333
If the quotient is a whole number, then 3 and 10,040,410.3333 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 | 30,121,231 | |
| -1 | -30,121,231 |
Let's try dividing by 4:
30,121,231 ÷ 4 = 7,530,307.75
If the quotient is a whole number, then 4 and 7,530,307.75 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 | 30,121,231 | |
| -1 | 30,121,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 137 | 343 | 641 | 959 | 4,487 | 6,713 | 31,409 | 46,991 | 87,817 | 219,863 | 614,719 | 4,303,033 | 30,121,231 |
| -1 | -7 | -49 | -137 | -343 | -641 | -959 | -4,487 | -6,713 | -31,409 | -46,991 | -87,817 | -219,863 | -614,719 | -4,303,033 | -30,121,231 |
Here are some more numbers to try:
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