A:
Positive:
1 x 25227214111 x 2293383131 x 813781159 x 4275799341 x 739801649 x 3887091829 x 13792912539 x 20119
Negative:
-1 x -252272141-11 x -22933831-31 x -8137811-59 x -4275799-341 x -739801-649 x -388709-1829 x -137929-12539 x -20119
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 252,272,141, 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 | 252,272,141 | |
| -1 | -252,272,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 252,272,141.
Example:
1 x 252,272,141 = 252,272,141
and
-1 x -252,272,141 = 252,272,141
Notice both answers equal 252,272,141
With that explanation out of the way, let's continue. Next, we take the number 252,272,141 and divide it by 2:
252,272,141 ÷ 2 = 126,136,070.5
If the quotient is a whole number, then 2 and 126,136,070.5 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 | 252,272,141 | |
| -1 | -252,272,141 |
Now, we try dividing 252,272,141 by 3:
252,272,141 ÷ 3 = 84,090,713.6667
If the quotient is a whole number, then 3 and 84,090,713.6667 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 | 252,272,141 | |
| -1 | -252,272,141 |
Let's try dividing by 4:
252,272,141 ÷ 4 = 63,068,035.25
If the quotient is a whole number, then 4 and 63,068,035.25 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 | 252,272,141 | |
| -1 | 252,272,141 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 59 | 341 | 649 | 1,829 | 12,539 | 20,119 | 137,929 | 388,709 | 739,801 | 4,275,799 | 8,137,811 | 22,933,831 | 252,272,141 |
| -1 | -11 | -31 | -59 | -341 | -649 | -1,829 | -12,539 | -20,119 | -137,929 | -388,709 | -739,801 | -4,275,799 | -8,137,811 | -22,933,831 | -252,272,141 |
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