A:
Positive:
1 x 27865512119 x 14666059109 x 2556469197 x 1414493683 x 4079872071 x 1345513743 x 7444712977 x 21473
Negative:
-1 x -278655121-19 x -14666059-109 x -2556469-197 x -1414493-683 x -407987-2071 x -134551-3743 x -74447-12977 x -21473
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 278,655,121, 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 | 278,655,121 | |
| -1 | -278,655,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 278,655,121.
Example:
1 x 278,655,121 = 278,655,121
and
-1 x -278,655,121 = 278,655,121
Notice both answers equal 278,655,121
With that explanation out of the way, let's continue. Next, we take the number 278,655,121 and divide it by 2:
278,655,121 ÷ 2 = 139,327,560.5
If the quotient is a whole number, then 2 and 139,327,560.5 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 | 278,655,121 | |
| -1 | -278,655,121 |
Now, we try dividing 278,655,121 by 3:
278,655,121 ÷ 3 = 92,885,040.3333
If the quotient is a whole number, then 3 and 92,885,040.3333 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 | 278,655,121 | |
| -1 | -278,655,121 |
Let's try dividing by 4:
278,655,121 ÷ 4 = 69,663,780.25
If the quotient is a whole number, then 4 and 69,663,780.25 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 | 278,655,121 | |
| -1 | 278,655,121 |
If you did it right, you will end up with this table:
| 1 | 19 | 109 | 197 | 683 | 2,071 | 3,743 | 12,977 | 21,473 | 74,447 | 134,551 | 407,987 | 1,414,493 | 2,556,469 | 14,666,059 | 278,655,121 |
| -1 | -19 | -109 | -197 | -683 | -2,071 | -3,743 | -12,977 | -21,473 | -74,447 | -134,551 | -407,987 | -1,414,493 | -2,556,469 | -14,666,059 | -278,655,121 |
Here are some more numbers to try:
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