A:
Positive:
1 x 21677212711 x 1970655713 x 16674779143 x 1515889151 x 14355771661 x 1305071963 x 11042910039 x 21593
Negative:
-1 x -216772127-11 x -19706557-13 x -16674779-143 x -1515889-151 x -1435577-1661 x -130507-1963 x -110429-10039 x -21593
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 216,772,127, 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 | 216,772,127 | |
| -1 | -216,772,127 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,772,127.
Example:
1 x 216,772,127 = 216,772,127
and
-1 x -216,772,127 = 216,772,127
Notice both answers equal 216,772,127
With that explanation out of the way, let's continue. Next, we take the number 216,772,127 and divide it by 2:
216,772,127 ÷ 2 = 108,386,063.5
If the quotient is a whole number, then 2 and 108,386,063.5 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 | 216,772,127 | |
| -1 | -216,772,127 |
Now, we try dividing 216,772,127 by 3:
216,772,127 ÷ 3 = 72,257,375.6667
If the quotient is a whole number, then 3 and 72,257,375.6667 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 | 216,772,127 | |
| -1 | -216,772,127 |
Let's try dividing by 4:
216,772,127 ÷ 4 = 54,193,031.75
If the quotient is a whole number, then 4 and 54,193,031.75 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 | 216,772,127 | |
| -1 | 216,772,127 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 151 | 1,661 | 1,963 | 10,039 | 21,593 | 110,429 | 130,507 | 1,435,577 | 1,515,889 | 16,674,779 | 19,706,557 | 216,772,127 |
| -1 | -11 | -13 | -143 | -151 | -1,661 | -1,963 | -10,039 | -21,593 | -110,429 | -130,507 | -1,435,577 | -1,515,889 | -16,674,779 | -19,706,557 | -216,772,127 |
Here are some more numbers to try:
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