A:
Positive:
1 x 10156100911 x 923281917 x 5974177187 x 543107379 x 2679711433 x 708734169 x 243616443 x 15763
Negative:
-1 x -101561009-11 x -9232819-17 x -5974177-187 x -543107-379 x -267971-1433 x -70873-4169 x -24361-6443 x -15763
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 101,561,009, 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 | 101,561,009 | |
| -1 | -101,561,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,561,009.
Example:
1 x 101,561,009 = 101,561,009
and
-1 x -101,561,009 = 101,561,009
Notice both answers equal 101,561,009
With that explanation out of the way, let's continue. Next, we take the number 101,561,009 and divide it by 2:
101,561,009 ÷ 2 = 50,780,504.5
If the quotient is a whole number, then 2 and 50,780,504.5 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 | 101,561,009 | |
| -1 | -101,561,009 |
Now, we try dividing 101,561,009 by 3:
101,561,009 ÷ 3 = 33,853,669.6667
If the quotient is a whole number, then 3 and 33,853,669.6667 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 | 101,561,009 | |
| -1 | -101,561,009 |
Let's try dividing by 4:
101,561,009 ÷ 4 = 25,390,252.25
If the quotient is a whole number, then 4 and 25,390,252.25 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 | 101,561,009 | |
| -1 | 101,561,009 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 379 | 1,433 | 4,169 | 6,443 | 15,763 | 24,361 | 70,873 | 267,971 | 543,107 | 5,974,177 | 9,232,819 | 101,561,009 |
| -1 | -11 | -17 | -187 | -379 | -1,433 | -4,169 | -6,443 | -15,763 | -24,361 | -70,873 | -267,971 | -543,107 | -5,974,177 | -9,232,819 | -101,561,009 |
Here are some more numbers to try:
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