A:
Positive:
1 x 2144251755 x 4288503525 x 857700737 x 579527559 x 3634325185 x 1159055295 x 726865925 x 2318111475 x 1453732183 x 982253929 x 5457510915 x 19645
Negative:
-1 x -214425175-5 x -42885035-25 x -8577007-37 x -5795275-59 x -3634325-185 x -1159055-295 x -726865-925 x -231811-1475 x -145373-2183 x -98225-3929 x -54575-10915 x -19645
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 214,425,175, 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 | 214,425,175 | |
| -1 | -214,425,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,425,175.
Example:
1 x 214,425,175 = 214,425,175
and
-1 x -214,425,175 = 214,425,175
Notice both answers equal 214,425,175
With that explanation out of the way, let's continue. Next, we take the number 214,425,175 and divide it by 2:
214,425,175 ÷ 2 = 107,212,587.5
If the quotient is a whole number, then 2 and 107,212,587.5 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 | 214,425,175 | |
| -1 | -214,425,175 |
Now, we try dividing 214,425,175 by 3:
214,425,175 ÷ 3 = 71,475,058.3333
If the quotient is a whole number, then 3 and 71,475,058.3333 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 | 214,425,175 | |
| -1 | -214,425,175 |
Let's try dividing by 4:
214,425,175 ÷ 4 = 53,606,293.75
If the quotient is a whole number, then 4 and 53,606,293.75 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 | 214,425,175 | |
| -1 | 214,425,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 37 | 59 | 185 | 295 | 925 | 1,475 | 2,183 | 3,929 | 10,915 | 19,645 | 54,575 | 98,225 | 145,373 | 231,811 | 726,865 | 1,159,055 | 3,634,325 | 5,795,275 | 8,577,007 | 42,885,035 | 214,425,175 |
| -1 | -5 | -25 | -37 | -59 | -185 | -295 | -925 | -1,475 | -2,183 | -3,929 | -10,915 | -19,645 | -54,575 | -98,225 | -145,373 | -231,811 | -726,865 | -1,159,055 | -3,634,325 | -5,795,275 | -8,577,007 | -42,885,035 | -214,425,175 |
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