A:
Positive:
1 x 2521001217 x 3601430313 x 1939231791 x 2770331523 x 4820273661 x 688615297 x 475936799 x 37079
Negative:
-1 x -252100121-7 x -36014303-13 x -19392317-91 x -2770331-523 x -482027-3661 x -68861-5297 x -47593-6799 x -37079
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 252,100,121, 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 | 252,100,121 | |
| -1 | -252,100,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 252,100,121.
Example:
1 x 252,100,121 = 252,100,121
and
-1 x -252,100,121 = 252,100,121
Notice both answers equal 252,100,121
With that explanation out of the way, let's continue. Next, we take the number 252,100,121 and divide it by 2:
252,100,121 ÷ 2 = 126,050,060.5
If the quotient is a whole number, then 2 and 126,050,060.5 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 | 252,100,121 | |
| -1 | -252,100,121 |
Now, we try dividing 252,100,121 by 3:
252,100,121 ÷ 3 = 84,033,373.6667
If the quotient is a whole number, then 3 and 84,033,373.6667 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 | 252,100,121 | |
| -1 | -252,100,121 |
Let's try dividing by 4:
252,100,121 ÷ 4 = 63,025,030.25
If the quotient is a whole number, then 4 and 63,025,030.25 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 | 252,100,121 | |
| -1 | 252,100,121 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 523 | 3,661 | 5,297 | 6,799 | 37,079 | 47,593 | 68,861 | 482,027 | 2,770,331 | 19,392,317 | 36,014,303 | 252,100,121 |
| -1 | -7 | -13 | -91 | -523 | -3,661 | -5,297 | -6,799 | -37,079 | -47,593 | -68,861 | -482,027 | -2,770,331 | -19,392,317 | -36,014,303 | -252,100,121 |
Here are some more numbers to try:
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