A:
Positive:
1 x 2772356355 x 5544712731 x 894308537 x 7492855155 x 1788617185 x 14985711147 x 2417055735 x 48341
Negative:
-1 x -277235635-5 x -55447127-31 x -8943085-37 x -7492855-155 x -1788617-185 x -1498571-1147 x -241705-5735 x -48341
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 277,235,635, 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 | 277,235,635 | |
| -1 | -277,235,635 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 277,235,635.
Example:
1 x 277,235,635 = 277,235,635
and
-1 x -277,235,635 = 277,235,635
Notice both answers equal 277,235,635
With that explanation out of the way, let's continue. Next, we take the number 277,235,635 and divide it by 2:
277,235,635 ÷ 2 = 138,617,817.5
If the quotient is a whole number, then 2 and 138,617,817.5 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 | 277,235,635 | |
| -1 | -277,235,635 |
Now, we try dividing 277,235,635 by 3:
277,235,635 ÷ 3 = 92,411,878.3333
If the quotient is a whole number, then 3 and 92,411,878.3333 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 | 277,235,635 | |
| -1 | -277,235,635 |
Let's try dividing by 4:
277,235,635 ÷ 4 = 69,308,908.75
If the quotient is a whole number, then 4 and 69,308,908.75 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 | 277,235,635 | |
| -1 | 277,235,635 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 37 | 155 | 185 | 1,147 | 5,735 | 48,341 | 241,705 | 1,498,571 | 1,788,617 | 7,492,855 | 8,943,085 | 55,447,127 | 277,235,635 |
| -1 | -5 | -31 | -37 | -155 | -185 | -1,147 | -5,735 | -48,341 | -241,705 | -1,498,571 | -1,788,617 | -7,492,855 | -8,943,085 | -55,447,127 | -277,235,635 |
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