A:
Positive:
1 x 22010221317 x 1294718919 x 1158432761 x 3608233323 x 6814311037 x 2122491159 x 18990711171 x 19703
Negative:
-1 x -220102213-17 x -12947189-19 x -11584327-61 x -3608233-323 x -681431-1037 x -212249-1159 x -189907-11171 x -19703
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 220,102,213, 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 | 220,102,213 | |
| -1 | -220,102,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 220,102,213.
Example:
1 x 220,102,213 = 220,102,213
and
-1 x -220,102,213 = 220,102,213
Notice both answers equal 220,102,213
With that explanation out of the way, let's continue. Next, we take the number 220,102,213 and divide it by 2:
220,102,213 ÷ 2 = 110,051,106.5
If the quotient is a whole number, then 2 and 110,051,106.5 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 | 220,102,213 | |
| -1 | -220,102,213 |
Now, we try dividing 220,102,213 by 3:
220,102,213 ÷ 3 = 73,367,404.3333
If the quotient is a whole number, then 3 and 73,367,404.3333 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 | 220,102,213 | |
| -1 | -220,102,213 |
Let's try dividing by 4:
220,102,213 ÷ 4 = 55,025,553.25
If the quotient is a whole number, then 4 and 55,025,553.25 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 | 220,102,213 | |
| -1 | 220,102,213 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 61 | 323 | 1,037 | 1,159 | 11,171 | 19,703 | 189,907 | 212,249 | 681,431 | 3,608,233 | 11,584,327 | 12,947,189 | 220,102,213 |
| -1 | -17 | -19 | -61 | -323 | -1,037 | -1,159 | -11,171 | -19,703 | -189,907 | -212,249 | -681,431 | -3,608,233 | -11,584,327 | -12,947,189 | -220,102,213 |
Here are some more numbers to try:
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