A:
Positive:
1 x 65714361713 x 50549509241 x 2726737349 x 1882933601 x 10934173133 x 2097494537 x 1448417813 x 84109
Negative:
-1 x -657143617-13 x -50549509-241 x -2726737-349 x -1882933-601 x -1093417-3133 x -209749-4537 x -144841-7813 x -84109
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 657,143,617, 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 | 657,143,617 | |
| -1 | -657,143,617 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 657,143,617.
Example:
1 x 657,143,617 = 657,143,617
and
-1 x -657,143,617 = 657,143,617
Notice both answers equal 657,143,617
With that explanation out of the way, let's continue. Next, we take the number 657,143,617 and divide it by 2:
657,143,617 ÷ 2 = 328,571,808.5
If the quotient is a whole number, then 2 and 328,571,808.5 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 | 657,143,617 | |
| -1 | -657,143,617 |
Now, we try dividing 657,143,617 by 3:
657,143,617 ÷ 3 = 219,047,872.3333
If the quotient is a whole number, then 3 and 219,047,872.3333 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 | 657,143,617 | |
| -1 | -657,143,617 |
Let's try dividing by 4:
657,143,617 ÷ 4 = 164,285,904.25
If the quotient is a whole number, then 4 and 164,285,904.25 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 | 657,143,617 | |
| -1 | 657,143,617 |
If you did it right, you will end up with this table:
| 1 | 13 | 241 | 349 | 601 | 3,133 | 4,537 | 7,813 | 84,109 | 144,841 | 209,749 | 1,093,417 | 1,882,933 | 2,726,737 | 50,549,509 | 657,143,617 |
| -1 | -13 | -241 | -349 | -601 | -3,133 | -4,537 | -7,813 | -84,109 | -144,841 | -209,749 | -1,093,417 | -1,882,933 | -2,726,737 | -50,549,509 | -657,143,617 |
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