A:
Positive:
1 x 27722566311 x 2520233313 x 2132505161 x 4544683143 x 1938641521 x 532103671 x 413153793 x 3495913721 x 745035731 x 483736773 x 409318723 x 31781
Negative:
-1 x -277225663-11 x -25202333-13 x -21325051-61 x -4544683-143 x -1938641-521 x -532103-671 x -413153-793 x -349591-3721 x -74503-5731 x -48373-6773 x -40931-8723 x -31781
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 277,225,663, 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 | 277,225,663 | |
| -1 | -277,225,663 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 277,225,663.
Example:
1 x 277,225,663 = 277,225,663
and
-1 x -277,225,663 = 277,225,663
Notice both answers equal 277,225,663
With that explanation out of the way, let's continue. Next, we take the number 277,225,663 and divide it by 2:
277,225,663 ÷ 2 = 138,612,831.5
If the quotient is a whole number, then 2 and 138,612,831.5 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 | 277,225,663 | |
| -1 | -277,225,663 |
Now, we try dividing 277,225,663 by 3:
277,225,663 ÷ 3 = 92,408,554.3333
If the quotient is a whole number, then 3 and 92,408,554.3333 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 | 277,225,663 | |
| -1 | -277,225,663 |
Let's try dividing by 4:
277,225,663 ÷ 4 = 69,306,415.75
If the quotient is a whole number, then 4 and 69,306,415.75 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 | 277,225,663 | |
| -1 | 277,225,663 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 61 | 143 | 521 | 671 | 793 | 3,721 | 5,731 | 6,773 | 8,723 | 31,781 | 40,931 | 48,373 | 74,503 | 349,591 | 413,153 | 532,103 | 1,938,641 | 4,544,683 | 21,325,051 | 25,202,333 | 277,225,663 |
| -1 | -11 | -13 | -61 | -143 | -521 | -671 | -793 | -3,721 | -5,731 | -6,773 | -8,723 | -31,781 | -40,931 | -48,373 | -74,503 | -349,591 | -413,153 | -532,103 | -1,938,641 | -4,544,683 | -21,325,051 | -25,202,333 | -277,225,663 |
Here are some more numbers to try:
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