A:
Positive:
1 x 5054101437 x 7220144931 x 16303553217 x 2329079311 x 16251132177 x 2321597489 x 674879641 x 52423
Negative:
-1 x -505410143-7 x -72201449-31 x -16303553-217 x -2329079-311 x -1625113-2177 x -232159-7489 x -67487-9641 x -52423
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 505,410,143, 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 | 505,410,143 | |
| -1 | -505,410,143 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,410,143.
Example:
1 x 505,410,143 = 505,410,143
and
-1 x -505,410,143 = 505,410,143
Notice both answers equal 505,410,143
With that explanation out of the way, let's continue. Next, we take the number 505,410,143 and divide it by 2:
505,410,143 ÷ 2 = 252,705,071.5
If the quotient is a whole number, then 2 and 252,705,071.5 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 | 505,410,143 | |
| -1 | -505,410,143 |
Now, we try dividing 505,410,143 by 3:
505,410,143 ÷ 3 = 168,470,047.6667
If the quotient is a whole number, then 3 and 168,470,047.6667 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 | 505,410,143 | |
| -1 | -505,410,143 |
Let's try dividing by 4:
505,410,143 ÷ 4 = 126,352,535.75
If the quotient is a whole number, then 4 and 126,352,535.75 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 | 505,410,143 | |
| -1 | 505,410,143 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 311 | 2,177 | 7,489 | 9,641 | 52,423 | 67,487 | 232,159 | 1,625,113 | 2,329,079 | 16,303,553 | 72,201,449 | 505,410,143 |
| -1 | -7 | -31 | -217 | -311 | -2,177 | -7,489 | -9,641 | -52,423 | -67,487 | -232,159 | -1,625,113 | -2,329,079 | -16,303,553 | -72,201,449 | -505,410,143 |
Here are some more numbers to try:
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