A:
Positive:
1 x 44252321937 x 1196008761 x 725447989 x 49721712203 x 2008732257 x 1960673293 x 1343835429 x 81511
Negative:
-1 x -442523219-37 x -11960087-61 x -7254479-89 x -4972171-2203 x -200873-2257 x -196067-3293 x -134383-5429 x -81511
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 442,523,219, 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 | 442,523,219 | |
| -1 | -442,523,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 442,523,219.
Example:
1 x 442,523,219 = 442,523,219
and
-1 x -442,523,219 = 442,523,219
Notice both answers equal 442,523,219
With that explanation out of the way, let's continue. Next, we take the number 442,523,219 and divide it by 2:
442,523,219 ÷ 2 = 221,261,609.5
If the quotient is a whole number, then 2 and 221,261,609.5 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 | 442,523,219 | |
| -1 | -442,523,219 |
Now, we try dividing 442,523,219 by 3:
442,523,219 ÷ 3 = 147,507,739.6667
If the quotient is a whole number, then 3 and 147,507,739.6667 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 | 442,523,219 | |
| -1 | -442,523,219 |
Let's try dividing by 4:
442,523,219 ÷ 4 = 110,630,804.75
If the quotient is a whole number, then 4 and 110,630,804.75 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 | 442,523,219 | |
| -1 | 442,523,219 |
If you did it right, you will end up with this table:
| 1 | 37 | 61 | 89 | 2,203 | 2,257 | 3,293 | 5,429 | 81,511 | 134,383 | 196,067 | 200,873 | 4,972,171 | 7,254,479 | 11,960,087 | 442,523,219 |
| -1 | -37 | -61 | -89 | -2,203 | -2,257 | -3,293 | -5,429 | -81,511 | -134,383 | -196,067 | -200,873 | -4,972,171 | -7,254,479 | -11,960,087 | -442,523,219 |
Here are some more numbers to try:
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