A:
Positive:
1 x 21030331117 x 1237078353 x 3967987101 x 2082211901 x 2334111717 x 1224832311 x 910015353 x 39287
Negative:
-1 x -210303311-17 x -12370783-53 x -3967987-101 x -2082211-901 x -233411-1717 x -122483-2311 x -91001-5353 x -39287
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 210,303,311, 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 | 210,303,311 | |
| -1 | -210,303,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,303,311.
Example:
1 x 210,303,311 = 210,303,311
and
-1 x -210,303,311 = 210,303,311
Notice both answers equal 210,303,311
With that explanation out of the way, let's continue. Next, we take the number 210,303,311 and divide it by 2:
210,303,311 ÷ 2 = 105,151,655.5
If the quotient is a whole number, then 2 and 105,151,655.5 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 | 210,303,311 | |
| -1 | -210,303,311 |
Now, we try dividing 210,303,311 by 3:
210,303,311 ÷ 3 = 70,101,103.6667
If the quotient is a whole number, then 3 and 70,101,103.6667 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 | 210,303,311 | |
| -1 | -210,303,311 |
Let's try dividing by 4:
210,303,311 ÷ 4 = 52,575,827.75
If the quotient is a whole number, then 4 and 52,575,827.75 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 | 210,303,311 | |
| -1 | 210,303,311 |
If you did it right, you will end up with this table:
| 1 | 17 | 53 | 101 | 901 | 1,717 | 2,311 | 5,353 | 39,287 | 91,001 | 122,483 | 233,411 | 2,082,211 | 3,967,987 | 12,370,783 | 210,303,311 |
| -1 | -17 | -53 | -101 | -901 | -1,717 | -2,311 | -5,353 | -39,287 | -91,001 | -122,483 | -233,411 | -2,082,211 | -3,967,987 | -12,370,783 | -210,303,311 |
Here are some more numbers to try:
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