A:
Positive:
1 x 2125610655 x 42512213101 x 2104565337 x 630745505 x 4209131249 x 1701851685 x 1261496245 x 34037
Negative:
-1 x -212561065-5 x -42512213-101 x -2104565-337 x -630745-505 x -420913-1249 x -170185-1685 x -126149-6245 x -34037
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 212,561,065, 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 | 212,561,065 | |
| -1 | -212,561,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,561,065.
Example:
1 x 212,561,065 = 212,561,065
and
-1 x -212,561,065 = 212,561,065
Notice both answers equal 212,561,065
With that explanation out of the way, let's continue. Next, we take the number 212,561,065 and divide it by 2:
212,561,065 ÷ 2 = 106,280,532.5
If the quotient is a whole number, then 2 and 106,280,532.5 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 | 212,561,065 | |
| -1 | -212,561,065 |
Now, we try dividing 212,561,065 by 3:
212,561,065 ÷ 3 = 70,853,688.3333
If the quotient is a whole number, then 3 and 70,853,688.3333 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 | 212,561,065 | |
| -1 | -212,561,065 |
Let's try dividing by 4:
212,561,065 ÷ 4 = 53,140,266.25
If the quotient is a whole number, then 4 and 53,140,266.25 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 | 212,561,065 | |
| -1 | 212,561,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 101 | 337 | 505 | 1,249 | 1,685 | 6,245 | 34,037 | 126,149 | 170,185 | 420,913 | 630,745 | 2,104,565 | 42,512,213 | 212,561,065 |
| -1 | -5 | -101 | -337 | -505 | -1,249 | -1,685 | -6,245 | -34,037 | -126,149 | -170,185 | -420,913 | -630,745 | -2,104,565 | -42,512,213 | -212,561,065 |
Here are some more numbers to try:
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