A:
Positive:
1 x 362175177 x 517393131 x 116830749 x 739133113 x 320509211 x 171647217 x 166901791 x 457871477 x 245211519 x 238433503 x 103395537 x 6541
Negative:
-1 x -36217517-7 x -5173931-31 x -1168307-49 x -739133-113 x -320509-211 x -171647-217 x -166901-791 x -45787-1477 x -24521-1519 x -23843-3503 x -10339-5537 x -6541
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 36,217,517, 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 | 36,217,517 | |
| -1 | -36,217,517 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,217,517.
Example:
1 x 36,217,517 = 36,217,517
and
-1 x -36,217,517 = 36,217,517
Notice both answers equal 36,217,517
With that explanation out of the way, let's continue. Next, we take the number 36,217,517 and divide it by 2:
36,217,517 ÷ 2 = 18,108,758.5
If the quotient is a whole number, then 2 and 18,108,758.5 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 | 36,217,517 | |
| -1 | -36,217,517 |
Now, we try dividing 36,217,517 by 3:
36,217,517 ÷ 3 = 12,072,505.6667
If the quotient is a whole number, then 3 and 12,072,505.6667 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 | 36,217,517 | |
| -1 | -36,217,517 |
Let's try dividing by 4:
36,217,517 ÷ 4 = 9,054,379.25
If the quotient is a whole number, then 4 and 9,054,379.25 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 | 36,217,517 | |
| -1 | 36,217,517 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 49 | 113 | 211 | 217 | 791 | 1,477 | 1,519 | 3,503 | 5,537 | 6,541 | 10,339 | 23,843 | 24,521 | 45,787 | 166,901 | 171,647 | 320,509 | 739,133 | 1,168,307 | 5,173,931 | 36,217,517 |
| -1 | -7 | -31 | -49 | -113 | -211 | -217 | -791 | -1,477 | -1,519 | -3,503 | -5,537 | -6,541 | -10,339 | -23,843 | -24,521 | -45,787 | -166,901 | -171,647 | -320,509 | -739,133 | -1,168,307 | -5,173,931 | -36,217,517 |
Here are some more numbers to try:
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