A:
Positive:
1 x 27752740723 x 1206640931 x 8952497109 x 2546123713 x 3892392507 x 1107013379 x 821333571 x 77717
Negative:
-1 x -277527407-23 x -12066409-31 x -8952497-109 x -2546123-713 x -389239-2507 x -110701-3379 x -82133-3571 x -77717
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 277,527,407, 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 | 277,527,407 | |
| -1 | -277,527,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 277,527,407.
Example:
1 x 277,527,407 = 277,527,407
and
-1 x -277,527,407 = 277,527,407
Notice both answers equal 277,527,407
With that explanation out of the way, let's continue. Next, we take the number 277,527,407 and divide it by 2:
277,527,407 ÷ 2 = 138,763,703.5
If the quotient is a whole number, then 2 and 138,763,703.5 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 | 277,527,407 | |
| -1 | -277,527,407 |
Now, we try dividing 277,527,407 by 3:
277,527,407 ÷ 3 = 92,509,135.6667
If the quotient is a whole number, then 3 and 92,509,135.6667 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 | 277,527,407 | |
| -1 | -277,527,407 |
Let's try dividing by 4:
277,527,407 ÷ 4 = 69,381,851.75
If the quotient is a whole number, then 4 and 69,381,851.75 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 | 277,527,407 | |
| -1 | 277,527,407 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 109 | 713 | 2,507 | 3,379 | 3,571 | 77,717 | 82,133 | 110,701 | 389,239 | 2,546,123 | 8,952,497 | 12,066,409 | 277,527,407 |
| -1 | -23 | -31 | -109 | -713 | -2,507 | -3,379 | -3,571 | -77,717 | -82,133 | -110,701 | -389,239 | -2,546,123 | -8,952,497 | -12,066,409 | -277,527,407 |
Here are some more numbers to try:
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