A:
Positive:
1 x 2421322197 x 3459031719 x 12743801113 x 2142763133 x 1820543791 x 3061092147 x 11277715029 x 16111
Negative:
-1 x -242132219-7 x -34590317-19 x -12743801-113 x -2142763-133 x -1820543-791 x -306109-2147 x -112777-15029 x -16111
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 242,132,219, 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 | 242,132,219 | |
| -1 | -242,132,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,132,219.
Example:
1 x 242,132,219 = 242,132,219
and
-1 x -242,132,219 = 242,132,219
Notice both answers equal 242,132,219
With that explanation out of the way, let's continue. Next, we take the number 242,132,219 and divide it by 2:
242,132,219 ÷ 2 = 121,066,109.5
If the quotient is a whole number, then 2 and 121,066,109.5 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 | 242,132,219 | |
| -1 | -242,132,219 |
Now, we try dividing 242,132,219 by 3:
242,132,219 ÷ 3 = 80,710,739.6667
If the quotient is a whole number, then 3 and 80,710,739.6667 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 | 242,132,219 | |
| -1 | -242,132,219 |
Let's try dividing by 4:
242,132,219 ÷ 4 = 60,533,054.75
If the quotient is a whole number, then 4 and 60,533,054.75 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 | 242,132,219 | |
| -1 | 242,132,219 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 113 | 133 | 791 | 2,147 | 15,029 | 16,111 | 112,777 | 306,109 | 1,820,543 | 2,142,763 | 12,743,801 | 34,590,317 | 242,132,219 |
| -1 | -7 | -19 | -113 | -133 | -791 | -2,147 | -15,029 | -16,111 | -112,777 | -306,109 | -1,820,543 | -2,142,763 | -12,743,801 | -34,590,317 | -242,132,219 |
Here are some more numbers to try:
Try the factor calculator