A:
Positive:
1 x 21250153111 x 1931832123 x 923919729 x 7327639121 x 1756211253 x 839927319 x 666149667 x 3185932633 x 807072783 x 763573509 x 605597337 x 28963
Negative:
-1 x -212501531-11 x -19318321-23 x -9239197-29 x -7327639-121 x -1756211-253 x -839927-319 x -666149-667 x -318593-2633 x -80707-2783 x -76357-3509 x -60559-7337 x -28963
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 212,501,531, 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 | 212,501,531 | |
| -1 | -212,501,531 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,501,531.
Example:
1 x 212,501,531 = 212,501,531
and
-1 x -212,501,531 = 212,501,531
Notice both answers equal 212,501,531
With that explanation out of the way, let's continue. Next, we take the number 212,501,531 and divide it by 2:
212,501,531 ÷ 2 = 106,250,765.5
If the quotient is a whole number, then 2 and 106,250,765.5 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 | 212,501,531 | |
| -1 | -212,501,531 |
Now, we try dividing 212,501,531 by 3:
212,501,531 ÷ 3 = 70,833,843.6667
If the quotient is a whole number, then 3 and 70,833,843.6667 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 | 212,501,531 | |
| -1 | -212,501,531 |
Let's try dividing by 4:
212,501,531 ÷ 4 = 53,125,382.75
If the quotient is a whole number, then 4 and 53,125,382.75 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 | 212,501,531 | |
| -1 | 212,501,531 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 29 | 121 | 253 | 319 | 667 | 2,633 | 2,783 | 3,509 | 7,337 | 28,963 | 60,559 | 76,357 | 80,707 | 318,593 | 666,149 | 839,927 | 1,756,211 | 7,327,639 | 9,239,197 | 19,318,321 | 212,501,531 |
| -1 | -11 | -23 | -29 | -121 | -253 | -319 | -667 | -2,633 | -2,783 | -3,509 | -7,337 | -28,963 | -60,559 | -76,357 | -80,707 | -318,593 | -666,149 | -839,927 | -1,756,211 | -7,327,639 | -9,239,197 | -19,318,321 | -212,501,531 |
Here are some more numbers to try:
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