A:
Positive:
1 x 65712001929 x 2265931147 x 1398127789 x 73833711363 x 4821132581 x 2545994183 x 1570935417 x 121307
Negative:
-1 x -657120019-29 x -22659311-47 x -13981277-89 x -7383371-1363 x -482113-2581 x -254599-4183 x -157093-5417 x -121307
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 657,120,019, 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 | 657,120,019 | |
| -1 | -657,120,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 657,120,019.
Example:
1 x 657,120,019 = 657,120,019
and
-1 x -657,120,019 = 657,120,019
Notice both answers equal 657,120,019
With that explanation out of the way, let's continue. Next, we take the number 657,120,019 and divide it by 2:
657,120,019 ÷ 2 = 328,560,009.5
If the quotient is a whole number, then 2 and 328,560,009.5 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 | 657,120,019 | |
| -1 | -657,120,019 |
Now, we try dividing 657,120,019 by 3:
657,120,019 ÷ 3 = 219,040,006.3333
If the quotient is a whole number, then 3 and 219,040,006.3333 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 | 657,120,019 | |
| -1 | -657,120,019 |
Let's try dividing by 4:
657,120,019 ÷ 4 = 164,280,004.75
If the quotient is a whole number, then 4 and 164,280,004.75 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 | 657,120,019 | |
| -1 | 657,120,019 |
If you did it right, you will end up with this table:
| 1 | 29 | 47 | 89 | 1,363 | 2,581 | 4,183 | 5,417 | 121,307 | 157,093 | 254,599 | 482,113 | 7,383,371 | 13,981,277 | 22,659,311 | 657,120,019 |
| -1 | -29 | -47 | -89 | -1,363 | -2,581 | -4,183 | -5,417 | -121,307 | -157,093 | -254,599 | -482,113 | -7,383,371 | -13,981,277 | -22,659,311 | -657,120,019 |
Here are some more numbers to try:
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