A:
Positive:
1 x 2167721297 x 3096744729 x 747490149 x 442392179 x 2743951203 x 1067843553 x 3919931421 x 1525491931 x 1122592291 x 946193871 x 5599913517 x 16037
Negative:
-1 x -216772129-7 x -30967447-29 x -7474901-49 x -4423921-79 x -2743951-203 x -1067843-553 x -391993-1421 x -152549-1931 x -112259-2291 x -94619-3871 x -55999-13517 x -16037
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 216,772,129, 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 | 216,772,129 | |
| -1 | -216,772,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,772,129.
Example:
1 x 216,772,129 = 216,772,129
and
-1 x -216,772,129 = 216,772,129
Notice both answers equal 216,772,129
With that explanation out of the way, let's continue. Next, we take the number 216,772,129 and divide it by 2:
216,772,129 ÷ 2 = 108,386,064.5
If the quotient is a whole number, then 2 and 108,386,064.5 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 | 216,772,129 | |
| -1 | -216,772,129 |
Now, we try dividing 216,772,129 by 3:
216,772,129 ÷ 3 = 72,257,376.3333
If the quotient is a whole number, then 3 and 72,257,376.3333 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 | 216,772,129 | |
| -1 | -216,772,129 |
Let's try dividing by 4:
216,772,129 ÷ 4 = 54,193,032.25
If the quotient is a whole number, then 4 and 54,193,032.25 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 | 216,772,129 | |
| -1 | 216,772,129 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 49 | 79 | 203 | 553 | 1,421 | 1,931 | 2,291 | 3,871 | 13,517 | 16,037 | 55,999 | 94,619 | 112,259 | 152,549 | 391,993 | 1,067,843 | 2,743,951 | 4,423,921 | 7,474,901 | 30,967,447 | 216,772,129 |
| -1 | -7 | -29 | -49 | -79 | -203 | -553 | -1,421 | -1,931 | -2,291 | -3,871 | -13,517 | -16,037 | -55,999 | -94,619 | -112,259 | -152,549 | -391,993 | -1,067,843 | -2,743,951 | -4,423,921 | -7,474,901 | -30,967,447 | -216,772,129 |
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