A:
Positive:
1 x 2100321237 x 3000458929 x 7242487203 x 1034641719 x 2921171439 x 1459575033 x 4173110073 x 20851
Negative:
-1 x -210032123-7 x -30004589-29 x -7242487-203 x -1034641-719 x -292117-1439 x -145957-5033 x -41731-10073 x -20851
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 210,032,123, 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 | 210,032,123 | |
| -1 | -210,032,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,032,123.
Example:
1 x 210,032,123 = 210,032,123
and
-1 x -210,032,123 = 210,032,123
Notice both answers equal 210,032,123
With that explanation out of the way, let's continue. Next, we take the number 210,032,123 and divide it by 2:
210,032,123 ÷ 2 = 105,016,061.5
If the quotient is a whole number, then 2 and 105,016,061.5 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 | 210,032,123 | |
| -1 | -210,032,123 |
Now, we try dividing 210,032,123 by 3:
210,032,123 ÷ 3 = 70,010,707.6667
If the quotient is a whole number, then 3 and 70,010,707.6667 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 | 210,032,123 | |
| -1 | -210,032,123 |
Let's try dividing by 4:
210,032,123 ÷ 4 = 52,508,030.75
If the quotient is a whole number, then 4 and 52,508,030.75 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 | 210,032,123 | |
| -1 | 210,032,123 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 719 | 1,439 | 5,033 | 10,073 | 20,851 | 41,731 | 145,957 | 292,117 | 1,034,641 | 7,242,487 | 30,004,589 | 210,032,123 |
| -1 | -7 | -29 | -203 | -719 | -1,439 | -5,033 | -10,073 | -20,851 | -41,731 | -145,957 | -292,117 | -1,034,641 | -7,242,487 | -30,004,589 | -210,032,123 |
Here are some more numbers to try:
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