A:
Positive:
1 x 2133054955 x 4266109913 x 1640811519 x 1122660565 x 328162395 x 2245321247 x 8635851235 x 172717
Negative:
-1 x -213305495-5 x -42661099-13 x -16408115-19 x -11226605-65 x -3281623-95 x -2245321-247 x -863585-1235 x -172717
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 213,305,495, 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 | 213,305,495 | |
| -1 | -213,305,495 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,305,495.
Example:
1 x 213,305,495 = 213,305,495
and
-1 x -213,305,495 = 213,305,495
Notice both answers equal 213,305,495
With that explanation out of the way, let's continue. Next, we take the number 213,305,495 and divide it by 2:
213,305,495 ÷ 2 = 106,652,747.5
If the quotient is a whole number, then 2 and 106,652,747.5 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 | 213,305,495 | |
| -1 | -213,305,495 |
Now, we try dividing 213,305,495 by 3:
213,305,495 ÷ 3 = 71,101,831.6667
If the quotient is a whole number, then 3 and 71,101,831.6667 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 | 213,305,495 | |
| -1 | -213,305,495 |
Let's try dividing by 4:
213,305,495 ÷ 4 = 53,326,373.75
If the quotient is a whole number, then 4 and 53,326,373.75 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 | 213,305,495 | |
| -1 | 213,305,495 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 19 | 65 | 95 | 247 | 1,235 | 172,717 | 863,585 | 2,245,321 | 3,281,623 | 11,226,605 | 16,408,115 | 42,661,099 | 213,305,495 |
| -1 | -5 | -13 | -19 | -65 | -95 | -247 | -1,235 | -172,717 | -863,585 | -2,245,321 | -3,281,623 | -11,226,605 | -16,408,115 | -42,661,099 | -213,305,495 |
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