A:
Positive:
1 x 2420151655 x 484030337 x 3457359535 x 691471949 x 4939085245 x 987817617 x 3922451601 x 1511653085 x 784494319 x 560358005 x 3023311207 x 21595
Negative:
-1 x -242015165-5 x -48403033-7 x -34573595-35 x -6914719-49 x -4939085-245 x -987817-617 x -392245-1601 x -151165-3085 x -78449-4319 x -56035-8005 x -30233-11207 x -21595
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 242,015,165, 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 | 242,015,165 | |
| -1 | -242,015,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,015,165.
Example:
1 x 242,015,165 = 242,015,165
and
-1 x -242,015,165 = 242,015,165
Notice both answers equal 242,015,165
With that explanation out of the way, let's continue. Next, we take the number 242,015,165 and divide it by 2:
242,015,165 ÷ 2 = 121,007,582.5
If the quotient is a whole number, then 2 and 121,007,582.5 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 | 242,015,165 | |
| -1 | -242,015,165 |
Now, we try dividing 242,015,165 by 3:
242,015,165 ÷ 3 = 80,671,721.6667
If the quotient is a whole number, then 3 and 80,671,721.6667 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 | 242,015,165 | |
| -1 | -242,015,165 |
Let's try dividing by 4:
242,015,165 ÷ 4 = 60,503,791.25
If the quotient is a whole number, then 4 and 60,503,791.25 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 | 242,015,165 | |
| -1 | 242,015,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 245 | 617 | 1,601 | 3,085 | 4,319 | 8,005 | 11,207 | 21,595 | 30,233 | 56,035 | 78,449 | 151,165 | 392,245 | 987,817 | 4,939,085 | 6,914,719 | 34,573,595 | 48,403,033 | 242,015,165 |
| -1 | -5 | -7 | -35 | -49 | -245 | -617 | -1,601 | -3,085 | -4,319 | -8,005 | -11,207 | -21,595 | -30,233 | -56,035 | -78,449 | -151,165 | -392,245 | -987,817 | -4,939,085 | -6,914,719 | -34,573,595 | -48,403,033 | -242,015,165 |
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