A:
Positive:
1 x 2521013117 x 3601447311 x 2291830177 x 327404389 x 2832599623 x 404657979 x 2575096853 x 36787
Negative:
-1 x -252101311-7 x -36014473-11 x -22918301-77 x -3274043-89 x -2832599-623 x -404657-979 x -257509-6853 x -36787
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 252,101,311, 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 | 252,101,311 | |
| -1 | -252,101,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 252,101,311.
Example:
1 x 252,101,311 = 252,101,311
and
-1 x -252,101,311 = 252,101,311
Notice both answers equal 252,101,311
With that explanation out of the way, let's continue. Next, we take the number 252,101,311 and divide it by 2:
252,101,311 ÷ 2 = 126,050,655.5
If the quotient is a whole number, then 2 and 126,050,655.5 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 | 252,101,311 | |
| -1 | -252,101,311 |
Now, we try dividing 252,101,311 by 3:
252,101,311 ÷ 3 = 84,033,770.3333
If the quotient is a whole number, then 3 and 84,033,770.3333 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 | 252,101,311 | |
| -1 | -252,101,311 |
Let's try dividing by 4:
252,101,311 ÷ 4 = 63,025,327.75
If the quotient is a whole number, then 4 and 63,025,327.75 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 | 252,101,311 | |
| -1 | 252,101,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 89 | 623 | 979 | 6,853 | 36,787 | 257,509 | 404,657 | 2,832,599 | 3,274,043 | 22,918,301 | 36,014,473 | 252,101,311 |
| -1 | -7 | -11 | -77 | -89 | -623 | -979 | -6,853 | -36,787 | -257,509 | -404,657 | -2,832,599 | -3,274,043 | -22,918,301 | -36,014,473 | -252,101,311 |
Here are some more numbers to try:
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