A:
Positive:
1 x 27865227119 x 1466590929 x 9608699283 x 984637551 x 5057211787 x 1559335377 x 518238207 x 33953
Negative:
-1 x -278652271-19 x -14665909-29 x -9608699-283 x -984637-551 x -505721-1787 x -155933-5377 x -51823-8207 x -33953
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 278,652,271, 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 | 278,652,271 | |
| -1 | -278,652,271 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 278,652,271.
Example:
1 x 278,652,271 = 278,652,271
and
-1 x -278,652,271 = 278,652,271
Notice both answers equal 278,652,271
With that explanation out of the way, let's continue. Next, we take the number 278,652,271 and divide it by 2:
278,652,271 ÷ 2 = 139,326,135.5
If the quotient is a whole number, then 2 and 139,326,135.5 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 | 278,652,271 | |
| -1 | -278,652,271 |
Now, we try dividing 278,652,271 by 3:
278,652,271 ÷ 3 = 92,884,090.3333
If the quotient is a whole number, then 3 and 92,884,090.3333 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 | 278,652,271 | |
| -1 | -278,652,271 |
Let's try dividing by 4:
278,652,271 ÷ 4 = 69,663,067.75
If the quotient is a whole number, then 4 and 69,663,067.75 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 | 278,652,271 | |
| -1 | 278,652,271 |
If you did it right, you will end up with this table:
| 1 | 19 | 29 | 283 | 551 | 1,787 | 5,377 | 8,207 | 33,953 | 51,823 | 155,933 | 505,721 | 984,637 | 9,608,699 | 14,665,909 | 278,652,271 |
| -1 | -19 | -29 | -283 | -551 | -1,787 | -5,377 | -8,207 | -33,953 | -51,823 | -155,933 | -505,721 | -984,637 | -9,608,699 | -14,665,909 | -278,652,271 |
Here are some more numbers to try:
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