A:
Positive:
1 x 1441456317 x 2059223329 x 4970539203 x 710077499 x 2888691423 x 1012973493 x 412679961 x 14471
Negative:
-1 x -144145631-7 x -20592233-29 x -4970539-203 x -710077-499 x -288869-1423 x -101297-3493 x -41267-9961 x -14471
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 144,145,631, 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 | 144,145,631 | |
| -1 | -144,145,631 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 144,145,631.
Example:
1 x 144,145,631 = 144,145,631
and
-1 x -144,145,631 = 144,145,631
Notice both answers equal 144,145,631
With that explanation out of the way, let's continue. Next, we take the number 144,145,631 and divide it by 2:
144,145,631 ÷ 2 = 72,072,815.5
If the quotient is a whole number, then 2 and 72,072,815.5 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 | 144,145,631 | |
| -1 | -144,145,631 |
Now, we try dividing 144,145,631 by 3:
144,145,631 ÷ 3 = 48,048,543.6667
If the quotient is a whole number, then 3 and 48,048,543.6667 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 | 144,145,631 | |
| -1 | -144,145,631 |
Let's try dividing by 4:
144,145,631 ÷ 4 = 36,036,407.75
If the quotient is a whole number, then 4 and 36,036,407.75 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 | 144,145,631 | |
| -1 | 144,145,631 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 499 | 1,423 | 3,493 | 9,961 | 14,471 | 41,267 | 101,297 | 288,869 | 710,077 | 4,970,539 | 20,592,233 | 144,145,631 |
| -1 | -7 | -29 | -203 | -499 | -1,423 | -3,493 | -9,961 | -14,471 | -41,267 | -101,297 | -288,869 | -710,077 | -4,970,539 | -20,592,233 | -144,145,631 |
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