A:
Positive:
1 x 2802633617 x 4003762383 x 337666797 x 2889313581 x 482381679 x 4127594973 x 563578051 x 34811
Negative:
-1 x -280263361-7 x -40037623-83 x -3376667-97 x -2889313-581 x -482381-679 x -412759-4973 x -56357-8051 x -34811
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 280,263,361, 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 | 280,263,361 | |
| -1 | -280,263,361 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 280,263,361.
Example:
1 x 280,263,361 = 280,263,361
and
-1 x -280,263,361 = 280,263,361
Notice both answers equal 280,263,361
With that explanation out of the way, let's continue. Next, we take the number 280,263,361 and divide it by 2:
280,263,361 ÷ 2 = 140,131,680.5
If the quotient is a whole number, then 2 and 140,131,680.5 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 | 280,263,361 | |
| -1 | -280,263,361 |
Now, we try dividing 280,263,361 by 3:
280,263,361 ÷ 3 = 93,421,120.3333
If the quotient is a whole number, then 3 and 93,421,120.3333 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 | 280,263,361 | |
| -1 | -280,263,361 |
Let's try dividing by 4:
280,263,361 ÷ 4 = 70,065,840.25
If the quotient is a whole number, then 4 and 70,065,840.25 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 | 280,263,361 | |
| -1 | 280,263,361 |
If you did it right, you will end up with this table:
| 1 | 7 | 83 | 97 | 581 | 679 | 4,973 | 8,051 | 34,811 | 56,357 | 412,759 | 482,381 | 2,889,313 | 3,376,667 | 40,037,623 | 280,263,361 |
| -1 | -7 | -83 | -97 | -581 | -679 | -4,973 | -8,051 | -34,811 | -56,357 | -412,759 | -482,381 | -2,889,313 | -3,376,667 | -40,037,623 | -280,263,361 |
Here are some more numbers to try:
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