A:
Positive:
1 x 1014102055 x 2028204113 x 780078565 x 1560157557 x 1820652785 x 364132801 x 362057241 x 14005
Negative:
-1 x -101410205-5 x -20282041-13 x -7800785-65 x -1560157-557 x -182065-2785 x -36413-2801 x -36205-7241 x -14005
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 101,410,205, 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 | 101,410,205 | |
| -1 | -101,410,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,410,205.
Example:
1 x 101,410,205 = 101,410,205
and
-1 x -101,410,205 = 101,410,205
Notice both answers equal 101,410,205
With that explanation out of the way, let's continue. Next, we take the number 101,410,205 and divide it by 2:
101,410,205 ÷ 2 = 50,705,102.5
If the quotient is a whole number, then 2 and 50,705,102.5 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 | 101,410,205 | |
| -1 | -101,410,205 |
Now, we try dividing 101,410,205 by 3:
101,410,205 ÷ 3 = 33,803,401.6667
If the quotient is a whole number, then 3 and 33,803,401.6667 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 | 101,410,205 | |
| -1 | -101,410,205 |
Let's try dividing by 4:
101,410,205 ÷ 4 = 25,352,551.25
If the quotient is a whole number, then 4 and 25,352,551.25 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 | 101,410,205 | |
| -1 | 101,410,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 557 | 2,785 | 2,801 | 7,241 | 14,005 | 36,205 | 36,413 | 182,065 | 1,560,157 | 7,800,785 | 20,282,041 | 101,410,205 |
| -1 | -5 | -13 | -65 | -557 | -2,785 | -2,801 | -7,241 | -14,005 | -36,205 | -36,413 | -182,065 | -1,560,157 | -7,800,785 | -20,282,041 | -101,410,205 |
Here are some more numbers to try:
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