A:
Positive:
1 x 661313177 x 944733171 x 931427271 x 244027491 x 134687497 x 1330611897 x 348613437 x 19241
Negative:
-1 x -66131317-7 x -9447331-71 x -931427-271 x -244027-491 x -134687-497 x -133061-1897 x -34861-3437 x -19241
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 66,131,317, 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 | 66,131,317 | |
| -1 | -66,131,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,131,317.
Example:
1 x 66,131,317 = 66,131,317
and
-1 x -66,131,317 = 66,131,317
Notice both answers equal 66,131,317
With that explanation out of the way, let's continue. Next, we take the number 66,131,317 and divide it by 2:
66,131,317 ÷ 2 = 33,065,658.5
If the quotient is a whole number, then 2 and 33,065,658.5 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 | 66,131,317 | |
| -1 | -66,131,317 |
Now, we try dividing 66,131,317 by 3:
66,131,317 ÷ 3 = 22,043,772.3333
If the quotient is a whole number, then 3 and 22,043,772.3333 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 | 66,131,317 | |
| -1 | -66,131,317 |
Let's try dividing by 4:
66,131,317 ÷ 4 = 16,532,829.25
If the quotient is a whole number, then 4 and 16,532,829.25 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 | 66,131,317 | |
| -1 | 66,131,317 |
If you did it right, you will end up with this table:
| 1 | 7 | 71 | 271 | 491 | 497 | 1,897 | 3,437 | 19,241 | 34,861 | 133,061 | 134,687 | 244,027 | 931,427 | 9,447,331 | 66,131,317 |
| -1 | -7 | -71 | -271 | -491 | -497 | -1,897 | -3,437 | -19,241 | -34,861 | -133,061 | -134,687 | -244,027 | -931,427 | -9,447,331 | -66,131,317 |
Here are some more numbers to try:
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