A:
Positive:
1 x 1970409917 x 2814871331 x 6356161217 x 908023727 x 2710331249 x 1577595089 x 387198743 x 22537
Negative:
-1 x -197040991-7 x -28148713-31 x -6356161-217 x -908023-727 x -271033-1249 x -157759-5089 x -38719-8743 x -22537
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 197,040,991, 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 | 197,040,991 | |
| -1 | -197,040,991 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 197,040,991.
Example:
1 x 197,040,991 = 197,040,991
and
-1 x -197,040,991 = 197,040,991
Notice both answers equal 197,040,991
With that explanation out of the way, let's continue. Next, we take the number 197,040,991 and divide it by 2:
197,040,991 ÷ 2 = 98,520,495.5
If the quotient is a whole number, then 2 and 98,520,495.5 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 | 197,040,991 | |
| -1 | -197,040,991 |
Now, we try dividing 197,040,991 by 3:
197,040,991 ÷ 3 = 65,680,330.3333
If the quotient is a whole number, then 3 and 65,680,330.3333 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 | 197,040,991 | |
| -1 | -197,040,991 |
Let's try dividing by 4:
197,040,991 ÷ 4 = 49,260,247.75
If the quotient is a whole number, then 4 and 49,260,247.75 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 | 197,040,991 | |
| -1 | 197,040,991 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 727 | 1,249 | 5,089 | 8,743 | 22,537 | 38,719 | 157,759 | 271,033 | 908,023 | 6,356,161 | 28,148,713 | 197,040,991 |
| -1 | -7 | -31 | -217 | -727 | -1,249 | -5,089 | -8,743 | -22,537 | -38,719 | -157,759 | -271,033 | -908,023 | -6,356,161 | -28,148,713 | -197,040,991 |
Here are some more numbers to try:
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