A:
Positive:
1 x 2190150055 x 4380300111 x 1991045555 x 398209183 x 2638735415 x 527747913 x 2398854565 x 47977
Negative:
-1 x -219015005-5 x -43803001-11 x -19910455-55 x -3982091-83 x -2638735-415 x -527747-913 x -239885-4565 x -47977
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 219,015,005, 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 | 219,015,005 | |
| -1 | -219,015,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 219,015,005.
Example:
1 x 219,015,005 = 219,015,005
and
-1 x -219,015,005 = 219,015,005
Notice both answers equal 219,015,005
With that explanation out of the way, let's continue. Next, we take the number 219,015,005 and divide it by 2:
219,015,005 ÷ 2 = 109,507,502.5
If the quotient is a whole number, then 2 and 109,507,502.5 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 | 219,015,005 | |
| -1 | -219,015,005 |
Now, we try dividing 219,015,005 by 3:
219,015,005 ÷ 3 = 73,005,001.6667
If the quotient is a whole number, then 3 and 73,005,001.6667 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 | 219,015,005 | |
| -1 | -219,015,005 |
Let's try dividing by 4:
219,015,005 ÷ 4 = 54,753,751.25
If the quotient is a whole number, then 4 and 54,753,751.25 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 | 219,015,005 | |
| -1 | 219,015,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 83 | 415 | 913 | 4,565 | 47,977 | 239,885 | 527,747 | 2,638,735 | 3,982,091 | 19,910,455 | 43,803,001 | 219,015,005 |
| -1 | -5 | -11 | -55 | -83 | -415 | -913 | -4,565 | -47,977 | -239,885 | -527,747 | -2,638,735 | -3,982,091 | -19,910,455 | -43,803,001 | -219,015,005 |
Here are some more numbers to try:
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