A:
Positive:
1 x 8218250313 x 632173143 x 1911221169 x 486287263 x 312481559 x 1470171849 x 444473419 x 240377267 x 11309
Negative:
-1 x -82182503-13 x -6321731-43 x -1911221-169 x -486287-263 x -312481-559 x -147017-1849 x -44447-3419 x -24037-7267 x -11309
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 82,182,503, 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 | 82,182,503 | |
| -1 | -82,182,503 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,182,503.
Example:
1 x 82,182,503 = 82,182,503
and
-1 x -82,182,503 = 82,182,503
Notice both answers equal 82,182,503
With that explanation out of the way, let's continue. Next, we take the number 82,182,503 and divide it by 2:
82,182,503 ÷ 2 = 41,091,251.5
If the quotient is a whole number, then 2 and 41,091,251.5 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 | 82,182,503 | |
| -1 | -82,182,503 |
Now, we try dividing 82,182,503 by 3:
82,182,503 ÷ 3 = 27,394,167.6667
If the quotient is a whole number, then 3 and 27,394,167.6667 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 | 82,182,503 | |
| -1 | -82,182,503 |
Let's try dividing by 4:
82,182,503 ÷ 4 = 20,545,625.75
If the quotient is a whole number, then 4 and 20,545,625.75 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 | 82,182,503 | |
| -1 | 82,182,503 |
If you did it right, you will end up with this table:
| 1 | 13 | 43 | 169 | 263 | 559 | 1,849 | 3,419 | 7,267 | 11,309 | 24,037 | 44,447 | 147,017 | 312,481 | 486,287 | 1,911,221 | 6,321,731 | 82,182,503 |
| -1 | -13 | -43 | -169 | -263 | -559 | -1,849 | -3,419 | -7,267 | -11,309 | -24,037 | -44,447 | -147,017 | -312,481 | -486,287 | -1,911,221 | -6,321,731 | -82,182,503 |
Here are some more numbers to try:
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