A:
Positive:
1 x 2101011055 x 4202022131 x 6777455155 x 1355491269 x 7810451345 x 1562095039 x 416958339 x 25195
Negative:
-1 x -210101105-5 x -42020221-31 x -6777455-155 x -1355491-269 x -781045-1345 x -156209-5039 x -41695-8339 x -25195
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 210,101,105, 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 | 210,101,105 | |
| -1 | -210,101,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,101,105.
Example:
1 x 210,101,105 = 210,101,105
and
-1 x -210,101,105 = 210,101,105
Notice both answers equal 210,101,105
With that explanation out of the way, let's continue. Next, we take the number 210,101,105 and divide it by 2:
210,101,105 ÷ 2 = 105,050,552.5
If the quotient is a whole number, then 2 and 105,050,552.5 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 | 210,101,105 | |
| -1 | -210,101,105 |
Now, we try dividing 210,101,105 by 3:
210,101,105 ÷ 3 = 70,033,701.6667
If the quotient is a whole number, then 3 and 70,033,701.6667 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 | 210,101,105 | |
| -1 | -210,101,105 |
Let's try dividing by 4:
210,101,105 ÷ 4 = 52,525,276.25
If the quotient is a whole number, then 4 and 52,525,276.25 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 | 210,101,105 | |
| -1 | 210,101,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 269 | 1,345 | 5,039 | 8,339 | 25,195 | 41,695 | 156,209 | 781,045 | 1,355,491 | 6,777,455 | 42,020,221 | 210,101,105 |
| -1 | -5 | -31 | -155 | -269 | -1,345 | -5,039 | -8,339 | -25,195 | -41,695 | -156,209 | -781,045 | -1,355,491 | -6,777,455 | -42,020,221 | -210,101,105 |
Here are some more numbers to try:
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