A:
Positive:
1 x 2422011417 x 3460016313 x 1863085791 x 2661551179 x 13530791253 x 1932972327 x 10408314869 x 16289
Negative:
-1 x -242201141-7 x -34600163-13 x -18630857-91 x -2661551-179 x -1353079-1253 x -193297-2327 x -104083-14869 x -16289
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 242,201,141, 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 | 242,201,141 | |
| -1 | -242,201,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,201,141.
Example:
1 x 242,201,141 = 242,201,141
and
-1 x -242,201,141 = 242,201,141
Notice both answers equal 242,201,141
With that explanation out of the way, let's continue. Next, we take the number 242,201,141 and divide it by 2:
242,201,141 ÷ 2 = 121,100,570.5
If the quotient is a whole number, then 2 and 121,100,570.5 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 | 242,201,141 | |
| -1 | -242,201,141 |
Now, we try dividing 242,201,141 by 3:
242,201,141 ÷ 3 = 80,733,713.6667
If the quotient is a whole number, then 3 and 80,733,713.6667 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 | 242,201,141 | |
| -1 | -242,201,141 |
Let's try dividing by 4:
242,201,141 ÷ 4 = 60,550,285.25
If the quotient is a whole number, then 4 and 60,550,285.25 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 | 242,201,141 | |
| -1 | 242,201,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 179 | 1,253 | 2,327 | 14,869 | 16,289 | 104,083 | 193,297 | 1,353,079 | 2,661,551 | 18,630,857 | 34,600,163 | 242,201,141 |
| -1 | -7 | -13 | -91 | -179 | -1,253 | -2,327 | -14,869 | -16,289 | -104,083 | -193,297 | -1,353,079 | -2,661,551 | -18,630,857 | -34,600,163 | -242,201,141 |
Here are some more numbers to try:
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