A:
Positive:
1 x 2122014655 x 424402937 x 3031449535 x 606289959 x 3596635295 x 719327413 x 5138052065 x 102761
Negative:
-1 x -212201465-5 x -42440293-7 x -30314495-35 x -6062899-59 x -3596635-295 x -719327-413 x -513805-2065 x -102761
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 212,201,465, 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 | 212,201,465 | |
| -1 | -212,201,465 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,201,465.
Example:
1 x 212,201,465 = 212,201,465
and
-1 x -212,201,465 = 212,201,465
Notice both answers equal 212,201,465
With that explanation out of the way, let's continue. Next, we take the number 212,201,465 and divide it by 2:
212,201,465 ÷ 2 = 106,100,732.5
If the quotient is a whole number, then 2 and 106,100,732.5 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 | 212,201,465 | |
| -1 | -212,201,465 |
Now, we try dividing 212,201,465 by 3:
212,201,465 ÷ 3 = 70,733,821.6667
If the quotient is a whole number, then 3 and 70,733,821.6667 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 | 212,201,465 | |
| -1 | -212,201,465 |
Let's try dividing by 4:
212,201,465 ÷ 4 = 53,050,366.25
If the quotient is a whole number, then 4 and 53,050,366.25 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 | 212,201,465 | |
| -1 | 212,201,465 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 59 | 295 | 413 | 2,065 | 102,761 | 513,805 | 719,327 | 3,596,635 | 6,062,899 | 30,314,495 | 42,440,293 | 212,201,465 |
| -1 | -5 | -7 | -35 | -59 | -295 | -413 | -2,065 | -102,761 | -513,805 | -719,327 | -3,596,635 | -6,062,899 | -30,314,495 | -42,440,293 | -212,201,465 |
Here are some more numbers to try:
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