A:
Positive:
1 x 2121453537 x 3030647923 x 922371129 x 731535749 x 4329497161 x 1317673203 x 1045051667 x 3180591127 x 1882391421 x 1492934669 x 454376491 x 32683
Negative:
-1 x -212145353-7 x -30306479-23 x -9223711-29 x -7315357-49 x -4329497-161 x -1317673-203 x -1045051-667 x -318059-1127 x -188239-1421 x -149293-4669 x -45437-6491 x -32683
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 212,145,353, 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 | 212,145,353 | |
| -1 | -212,145,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,145,353.
Example:
1 x 212,145,353 = 212,145,353
and
-1 x -212,145,353 = 212,145,353
Notice both answers equal 212,145,353
With that explanation out of the way, let's continue. Next, we take the number 212,145,353 and divide it by 2:
212,145,353 ÷ 2 = 106,072,676.5
If the quotient is a whole number, then 2 and 106,072,676.5 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 | 212,145,353 | |
| -1 | -212,145,353 |
Now, we try dividing 212,145,353 by 3:
212,145,353 ÷ 3 = 70,715,117.6667
If the quotient is a whole number, then 3 and 70,715,117.6667 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 | 212,145,353 | |
| -1 | -212,145,353 |
Let's try dividing by 4:
212,145,353 ÷ 4 = 53,036,338.25
If the quotient is a whole number, then 4 and 53,036,338.25 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 | 212,145,353 | |
| -1 | 212,145,353 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 29 | 49 | 161 | 203 | 667 | 1,127 | 1,421 | 4,669 | 6,491 | 32,683 | 45,437 | 149,293 | 188,239 | 318,059 | 1,045,051 | 1,317,673 | 4,329,497 | 7,315,357 | 9,223,711 | 30,306,479 | 212,145,353 |
| -1 | -7 | -23 | -29 | -49 | -161 | -203 | -667 | -1,127 | -1,421 | -4,669 | -6,491 | -32,683 | -45,437 | -149,293 | -188,239 | -318,059 | -1,045,051 | -1,317,673 | -4,329,497 | -7,315,357 | -9,223,711 | -30,306,479 | -212,145,353 |
Here are some more numbers to try:
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