A:
Positive:
1 x 1441455055 x 288291017 x 2059221531 x 464985535 x 411844349 x 2941745155 x 929971217 x 664265245 x 5883491085 x 1328531519 x 948957595 x 18979
Negative:
-1 x -144145505-5 x -28829101-7 x -20592215-31 x -4649855-35 x -4118443-49 x -2941745-155 x -929971-217 x -664265-245 x -588349-1085 x -132853-1519 x -94895-7595 x -18979
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 144,145,505, 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 | 144,145,505 | |
| -1 | -144,145,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 144,145,505.
Example:
1 x 144,145,505 = 144,145,505
and
-1 x -144,145,505 = 144,145,505
Notice both answers equal 144,145,505
With that explanation out of the way, let's continue. Next, we take the number 144,145,505 and divide it by 2:
144,145,505 ÷ 2 = 72,072,752.5
If the quotient is a whole number, then 2 and 72,072,752.5 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 | 144,145,505 | |
| -1 | -144,145,505 |
Now, we try dividing 144,145,505 by 3:
144,145,505 ÷ 3 = 48,048,501.6667
If the quotient is a whole number, then 3 and 48,048,501.6667 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 | 144,145,505 | |
| -1 | -144,145,505 |
Let's try dividing by 4:
144,145,505 ÷ 4 = 36,036,376.25
If the quotient is a whole number, then 4 and 36,036,376.25 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 | 144,145,505 | |
| -1 | 144,145,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 31 | 35 | 49 | 155 | 217 | 245 | 1,085 | 1,519 | 7,595 | 18,979 | 94,895 | 132,853 | 588,349 | 664,265 | 929,971 | 2,941,745 | 4,118,443 | 4,649,855 | 20,592,215 | 28,829,101 | 144,145,505 |
| -1 | -5 | -7 | -31 | -35 | -49 | -155 | -217 | -245 | -1,085 | -1,519 | -7,595 | -18,979 | -94,895 | -132,853 | -588,349 | -664,265 | -929,971 | -2,941,745 | -4,118,443 | -4,649,855 | -20,592,215 | -28,829,101 | -144,145,505 |
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