A:
Positive:
1 x 1057211055 x 211442217 x 1510301535 x 3020603113 x 935585565 x 187117791 x 1336553955 x 26731
Negative:
-1 x -105721105-5 x -21144221-7 x -15103015-35 x -3020603-113 x -935585-565 x -187117-791 x -133655-3955 x -26731
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 105,721,105, 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 | 105,721,105 | |
| -1 | -105,721,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,721,105.
Example:
1 x 105,721,105 = 105,721,105
and
-1 x -105,721,105 = 105,721,105
Notice both answers equal 105,721,105
With that explanation out of the way, let's continue. Next, we take the number 105,721,105 and divide it by 2:
105,721,105 ÷ 2 = 52,860,552.5
If the quotient is a whole number, then 2 and 52,860,552.5 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 | 105,721,105 | |
| -1 | -105,721,105 |
Now, we try dividing 105,721,105 by 3:
105,721,105 ÷ 3 = 35,240,368.3333
If the quotient is a whole number, then 3 and 35,240,368.3333 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 | 105,721,105 | |
| -1 | -105,721,105 |
Let's try dividing by 4:
105,721,105 ÷ 4 = 26,430,276.25
If the quotient is a whole number, then 4 and 26,430,276.25 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 | 105,721,105 | |
| -1 | 105,721,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 113 | 565 | 791 | 3,955 | 26,731 | 133,655 | 187,117 | 935,585 | 3,020,603 | 15,103,015 | 21,144,221 | 105,721,105 |
| -1 | -5 | -7 | -35 | -113 | -565 | -791 | -3,955 | -26,731 | -133,655 | -187,117 | -935,585 | -3,020,603 | -15,103,015 | -21,144,221 | -105,721,105 |
Here are some more numbers to try:
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