A:
Positive:
1 x 21331332113 x 16408717151 x 1412671169 x 1262209643 x 3317471963 x 1086672197 x 970938359 x 25519
Negative:
-1 x -213313321-13 x -16408717-151 x -1412671-169 x -1262209-643 x -331747-1963 x -108667-2197 x -97093-8359 x -25519
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 213,313,321, 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 | 213,313,321 | |
| -1 | -213,313,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,313,321.
Example:
1 x 213,313,321 = 213,313,321
and
-1 x -213,313,321 = 213,313,321
Notice both answers equal 213,313,321
With that explanation out of the way, let's continue. Next, we take the number 213,313,321 and divide it by 2:
213,313,321 ÷ 2 = 106,656,660.5
If the quotient is a whole number, then 2 and 106,656,660.5 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 | 213,313,321 | |
| -1 | -213,313,321 |
Now, we try dividing 213,313,321 by 3:
213,313,321 ÷ 3 = 71,104,440.3333
If the quotient is a whole number, then 3 and 71,104,440.3333 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 | 213,313,321 | |
| -1 | -213,313,321 |
Let's try dividing by 4:
213,313,321 ÷ 4 = 53,328,330.25
If the quotient is a whole number, then 4 and 53,328,330.25 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 | 213,313,321 | |
| -1 | 213,313,321 |
If you did it right, you will end up with this table:
| 1 | 13 | 151 | 169 | 643 | 1,963 | 2,197 | 8,359 | 25,519 | 97,093 | 108,667 | 331,747 | 1,262,209 | 1,412,671 | 16,408,717 | 213,313,321 |
| -1 | -13 | -151 | -169 | -643 | -1,963 | -2,197 | -8,359 | -25,519 | -97,093 | -108,667 | -331,747 | -1,262,209 | -1,412,671 | -16,408,717 | -213,313,321 |
Here are some more numbers to try:
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