A:
Positive:
1 x 2142752155 x 428550437 x 3061074511 x 1947956535 x 612214955 x 389591377 x 2782795385 x 556559
Negative:
-1 x -214275215-5 x -42855043-7 x -30610745-11 x -19479565-35 x -6122149-55 x -3895913-77 x -2782795-385 x -556559
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 214,275,215, 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 | 214,275,215 | |
| -1 | -214,275,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,275,215.
Example:
1 x 214,275,215 = 214,275,215
and
-1 x -214,275,215 = 214,275,215
Notice both answers equal 214,275,215
With that explanation out of the way, let's continue. Next, we take the number 214,275,215 and divide it by 2:
214,275,215 ÷ 2 = 107,137,607.5
If the quotient is a whole number, then 2 and 107,137,607.5 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 | 214,275,215 | |
| -1 | -214,275,215 |
Now, we try dividing 214,275,215 by 3:
214,275,215 ÷ 3 = 71,425,071.6667
If the quotient is a whole number, then 3 and 71,425,071.6667 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 | 214,275,215 | |
| -1 | -214,275,215 |
Let's try dividing by 4:
214,275,215 ÷ 4 = 53,568,803.75
If the quotient is a whole number, then 4 and 53,568,803.75 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 | 214,275,215 | |
| -1 | 214,275,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 385 | 556,559 | 2,782,795 | 3,895,913 | 6,122,149 | 19,479,565 | 30,610,745 | 42,855,043 | 214,275,215 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -385 | -556,559 | -2,782,795 | -3,895,913 | -6,122,149 | -19,479,565 | -30,610,745 | -42,855,043 | -214,275,215 |
Here are some more numbers to try:
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