A:
Positive:
1 x 3014233929 x 103939141 x 735179101 x 298439251 x 1200891189 x 253512929 x 102914141 x 7279
Negative:
-1 x -30142339-29 x -1039391-41 x -735179-101 x -298439-251 x -120089-1189 x -25351-2929 x -10291-4141 x -7279
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 30,142,339, 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 | 30,142,339 | |
| -1 | -30,142,339 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,142,339.
Example:
1 x 30,142,339 = 30,142,339
and
-1 x -30,142,339 = 30,142,339
Notice both answers equal 30,142,339
With that explanation out of the way, let's continue. Next, we take the number 30,142,339 and divide it by 2:
30,142,339 ÷ 2 = 15,071,169.5
If the quotient is a whole number, then 2 and 15,071,169.5 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 | 30,142,339 | |
| -1 | -30,142,339 |
Now, we try dividing 30,142,339 by 3:
30,142,339 ÷ 3 = 10,047,446.3333
If the quotient is a whole number, then 3 and 10,047,446.3333 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 | 30,142,339 | |
| -1 | -30,142,339 |
Let's try dividing by 4:
30,142,339 ÷ 4 = 7,535,584.75
If the quotient is a whole number, then 4 and 7,535,584.75 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 | 30,142,339 | |
| -1 | 30,142,339 |
If you did it right, you will end up with this table:
| 1 | 29 | 41 | 101 | 251 | 1,189 | 2,929 | 4,141 | 7,279 | 10,291 | 25,351 | 120,089 | 298,439 | 735,179 | 1,039,391 | 30,142,339 |
| -1 | -29 | -41 | -101 | -251 | -1,189 | -2,929 | -4,141 | -7,279 | -10,291 | -25,351 | -120,089 | -298,439 | -735,179 | -1,039,391 | -30,142,339 |
Here are some more numbers to try:
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