A:
Positive:
1 x 10104519113 x 777270797 x 1041703227 x 445133353 x 2862471261 x 801312951 x 342414589 x 22019
Negative:
-1 x -101045191-13 x -7772707-97 x -1041703-227 x -445133-353 x -286247-1261 x -80131-2951 x -34241-4589 x -22019
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 101,045,191, 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 | 101,045,191 | |
| -1 | -101,045,191 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,045,191.
Example:
1 x 101,045,191 = 101,045,191
and
-1 x -101,045,191 = 101,045,191
Notice both answers equal 101,045,191
With that explanation out of the way, let's continue. Next, we take the number 101,045,191 and divide it by 2:
101,045,191 ÷ 2 = 50,522,595.5
If the quotient is a whole number, then 2 and 50,522,595.5 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 | 101,045,191 | |
| -1 | -101,045,191 |
Now, we try dividing 101,045,191 by 3:
101,045,191 ÷ 3 = 33,681,730.3333
If the quotient is a whole number, then 3 and 33,681,730.3333 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 | 101,045,191 | |
| -1 | -101,045,191 |
Let's try dividing by 4:
101,045,191 ÷ 4 = 25,261,297.75
If the quotient is a whole number, then 4 and 25,261,297.75 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 | 101,045,191 | |
| -1 | 101,045,191 |
If you did it right, you will end up with this table:
| 1 | 13 | 97 | 227 | 353 | 1,261 | 2,951 | 4,589 | 22,019 | 34,241 | 80,131 | 286,247 | 445,133 | 1,041,703 | 7,772,707 | 101,045,191 |
| -1 | -13 | -97 | -227 | -353 | -1,261 | -2,951 | -4,589 | -22,019 | -34,241 | -80,131 | -286,247 | -445,133 | -1,041,703 | -7,772,707 | -101,045,191 |
Here are some more numbers to try:
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