A:
Positive:
1 x 10154310111 x 923119141 x 247666161 x 1664641451 x 225151671 x 1513312501 x 406013691 x 27511
Negative:
-1 x -101543101-11 x -9231191-41 x -2476661-61 x -1664641-451 x -225151-671 x -151331-2501 x -40601-3691 x -27511
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 101,543,101, 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 | 101,543,101 | |
| -1 | -101,543,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,543,101.
Example:
1 x 101,543,101 = 101,543,101
and
-1 x -101,543,101 = 101,543,101
Notice both answers equal 101,543,101
With that explanation out of the way, let's continue. Next, we take the number 101,543,101 and divide it by 2:
101,543,101 ÷ 2 = 50,771,550.5
If the quotient is a whole number, then 2 and 50,771,550.5 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 | 101,543,101 | |
| -1 | -101,543,101 |
Now, we try dividing 101,543,101 by 3:
101,543,101 ÷ 3 = 33,847,700.3333
If the quotient is a whole number, then 3 and 33,847,700.3333 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 | 101,543,101 | |
| -1 | -101,543,101 |
Let's try dividing by 4:
101,543,101 ÷ 4 = 25,385,775.25
If the quotient is a whole number, then 4 and 25,385,775.25 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 | 101,543,101 | |
| -1 | 101,543,101 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 61 | 451 | 671 | 2,501 | 3,691 | 27,511 | 40,601 | 151,331 | 225,151 | 1,664,641 | 2,476,661 | 9,231,191 | 101,543,101 |
| -1 | -11 | -41 | -61 | -451 | -671 | -2,501 | -3,691 | -27,511 | -40,601 | -151,331 | -225,151 | -1,664,641 | -2,476,661 | -9,231,191 | -101,543,101 |
Here are some more numbers to try:
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