A:
Positive:
1 x 2411321997 x 3444745711 x 2192110917 x 1418424777 x 3131587119 x 2026321187 x 12894771309 x 184211
Negative:
-1 x -241132199-7 x -34447457-11 x -21921109-17 x -14184247-77 x -3131587-119 x -2026321-187 x -1289477-1309 x -184211
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 241,132,199, 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 | 241,132,199 | |
| -1 | -241,132,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 241,132,199.
Example:
1 x 241,132,199 = 241,132,199
and
-1 x -241,132,199 = 241,132,199
Notice both answers equal 241,132,199
With that explanation out of the way, let's continue. Next, we take the number 241,132,199 and divide it by 2:
241,132,199 ÷ 2 = 120,566,099.5
If the quotient is a whole number, then 2 and 120,566,099.5 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 | 241,132,199 | |
| -1 | -241,132,199 |
Now, we try dividing 241,132,199 by 3:
241,132,199 ÷ 3 = 80,377,399.6667
If the quotient is a whole number, then 3 and 80,377,399.6667 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 | 241,132,199 | |
| -1 | -241,132,199 |
Let's try dividing by 4:
241,132,199 ÷ 4 = 60,283,049.75
If the quotient is a whole number, then 4 and 60,283,049.75 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 | 241,132,199 | |
| -1 | 241,132,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 17 | 77 | 119 | 187 | 1,309 | 184,211 | 1,289,477 | 2,026,321 | 3,131,587 | 14,184,247 | 21,921,109 | 34,447,457 | 241,132,199 |
| -1 | -7 | -11 | -17 | -77 | -119 | -187 | -1,309 | -184,211 | -1,289,477 | -2,026,321 | -3,131,587 | -14,184,247 | -21,921,109 | -34,447,457 | -241,132,199 |
Here are some more numbers to try:
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