A:
Positive:
1 x 2220121617 x 3171602347 x 4723663199 x 1115639329 x 6748091393 x 1593773391 x 654719353 x 23737
Negative:
-1 x -222012161-7 x -31716023-47 x -4723663-199 x -1115639-329 x -674809-1393 x -159377-3391 x -65471-9353 x -23737
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 222,012,161, 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 | 222,012,161 | |
| -1 | -222,012,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,012,161.
Example:
1 x 222,012,161 = 222,012,161
and
-1 x -222,012,161 = 222,012,161
Notice both answers equal 222,012,161
With that explanation out of the way, let's continue. Next, we take the number 222,012,161 and divide it by 2:
222,012,161 ÷ 2 = 111,006,080.5
If the quotient is a whole number, then 2 and 111,006,080.5 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 | 222,012,161 | |
| -1 | -222,012,161 |
Now, we try dividing 222,012,161 by 3:
222,012,161 ÷ 3 = 74,004,053.6667
If the quotient is a whole number, then 3 and 74,004,053.6667 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 | 222,012,161 | |
| -1 | -222,012,161 |
Let's try dividing by 4:
222,012,161 ÷ 4 = 55,503,040.25
If the quotient is a whole number, then 4 and 55,503,040.25 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 | 222,012,161 | |
| -1 | 222,012,161 |
If you did it right, you will end up with this table:
| 1 | 7 | 47 | 199 | 329 | 1,393 | 3,391 | 9,353 | 23,737 | 65,471 | 159,377 | 674,809 | 1,115,639 | 4,723,663 | 31,716,023 | 222,012,161 |
| -1 | -7 | -47 | -199 | -329 | -1,393 | -3,391 | -9,353 | -23,737 | -65,471 | -159,377 | -674,809 | -1,115,639 | -4,723,663 | -31,716,023 | -222,012,161 |
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