A:
Positive:
1 x 21310222389 x 2394407101 x 2109923151 x 1411273157 x 13573398989 x 2370713439 x 1585713973 x 15251
Negative:
-1 x -213102223-89 x -2394407-101 x -2109923-151 x -1411273-157 x -1357339-8989 x -23707-13439 x -15857-13973 x -15251
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 213,102,223, 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 | 213,102,223 | |
| -1 | -213,102,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,102,223.
Example:
1 x 213,102,223 = 213,102,223
and
-1 x -213,102,223 = 213,102,223
Notice both answers equal 213,102,223
With that explanation out of the way, let's continue. Next, we take the number 213,102,223 and divide it by 2:
213,102,223 ÷ 2 = 106,551,111.5
If the quotient is a whole number, then 2 and 106,551,111.5 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 | 213,102,223 | |
| -1 | -213,102,223 |
Now, we try dividing 213,102,223 by 3:
213,102,223 ÷ 3 = 71,034,074.3333
If the quotient is a whole number, then 3 and 71,034,074.3333 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 | 213,102,223 | |
| -1 | -213,102,223 |
Let's try dividing by 4:
213,102,223 ÷ 4 = 53,275,555.75
If the quotient is a whole number, then 4 and 53,275,555.75 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 | 213,102,223 | |
| -1 | 213,102,223 |
If you did it right, you will end up with this table:
| 1 | 89 | 101 | 151 | 157 | 8,989 | 13,439 | 13,973 | 15,251 | 15,857 | 23,707 | 1,357,339 | 1,411,273 | 2,109,923 | 2,394,407 | 213,102,223 |
| -1 | -89 | -101 | -151 | -157 | -8,989 | -13,439 | -13,973 | -15,251 | -15,857 | -23,707 | -1,357,339 | -1,411,273 | -2,109,923 | -2,394,407 | -213,102,223 |
Here are some more numbers to try:
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