A:
Positive:
1 x 2125530355 x 4251060729 x 732941547 x 4522405145 x 1465883235 x 9044811363 x 1559456815 x 31189
Negative:
-1 x -212553035-5 x -42510607-29 x -7329415-47 x -4522405-145 x -1465883-235 x -904481-1363 x -155945-6815 x -31189
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 212,553,035, 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 | 212,553,035 | |
| -1 | -212,553,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,553,035.
Example:
1 x 212,553,035 = 212,553,035
and
-1 x -212,553,035 = 212,553,035
Notice both answers equal 212,553,035
With that explanation out of the way, let's continue. Next, we take the number 212,553,035 and divide it by 2:
212,553,035 ÷ 2 = 106,276,517.5
If the quotient is a whole number, then 2 and 106,276,517.5 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 | 212,553,035 | |
| -1 | -212,553,035 |
Now, we try dividing 212,553,035 by 3:
212,553,035 ÷ 3 = 70,851,011.6667
If the quotient is a whole number, then 3 and 70,851,011.6667 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 | 212,553,035 | |
| -1 | -212,553,035 |
Let's try dividing by 4:
212,553,035 ÷ 4 = 53,138,258.75
If the quotient is a whole number, then 4 and 53,138,258.75 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 | 212,553,035 | |
| -1 | 212,553,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 47 | 145 | 235 | 1,363 | 6,815 | 31,189 | 155,945 | 904,481 | 1,465,883 | 4,522,405 | 7,329,415 | 42,510,607 | 212,553,035 |
| -1 | -5 | -29 | -47 | -145 | -235 | -1,363 | -6,815 | -31,189 | -155,945 | -904,481 | -1,465,883 | -4,522,405 | -7,329,415 | -42,510,607 | -212,553,035 |
Here are some more numbers to try:
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