A:
Positive:
1 x 27682825313 x 2129448123 x 12036011169 x 1638037229 x 1208857299 x 925847311 x 8901232977 x 929893887 x 712194043 x 684715267 x 525597153 x 38701
Negative:
-1 x -276828253-13 x -21294481-23 x -12036011-169 x -1638037-229 x -1208857-299 x -925847-311 x -890123-2977 x -92989-3887 x -71219-4043 x -68471-5267 x -52559-7153 x -38701
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 276,828,253, 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 | 276,828,253 | |
| -1 | -276,828,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 276,828,253.
Example:
1 x 276,828,253 = 276,828,253
and
-1 x -276,828,253 = 276,828,253
Notice both answers equal 276,828,253
With that explanation out of the way, let's continue. Next, we take the number 276,828,253 and divide it by 2:
276,828,253 ÷ 2 = 138,414,126.5
If the quotient is a whole number, then 2 and 138,414,126.5 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 | 276,828,253 | |
| -1 | -276,828,253 |
Now, we try dividing 276,828,253 by 3:
276,828,253 ÷ 3 = 92,276,084.3333
If the quotient is a whole number, then 3 and 92,276,084.3333 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 | 276,828,253 | |
| -1 | -276,828,253 |
Let's try dividing by 4:
276,828,253 ÷ 4 = 69,207,063.25
If the quotient is a whole number, then 4 and 69,207,063.25 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 | 276,828,253 | |
| -1 | 276,828,253 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 169 | 229 | 299 | 311 | 2,977 | 3,887 | 4,043 | 5,267 | 7,153 | 38,701 | 52,559 | 68,471 | 71,219 | 92,989 | 890,123 | 925,847 | 1,208,857 | 1,638,037 | 12,036,011 | 21,294,481 | 276,828,253 |
| -1 | -13 | -23 | -169 | -229 | -299 | -311 | -2,977 | -3,887 | -4,043 | -5,267 | -7,153 | -38,701 | -52,559 | -68,471 | -71,219 | -92,989 | -890,123 | -925,847 | -1,208,857 | -1,638,037 | -12,036,011 | -21,294,481 | -276,828,253 |
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