A:
Positive:
1 x 14431301313 x 1110100179 x 182674783 x 17387111027 x 1405191079 x 1337471693 x 852416557 x 22009
Negative:
-1 x -144313013-13 x -11101001-79 x -1826747-83 x -1738711-1027 x -140519-1079 x -133747-1693 x -85241-6557 x -22009
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 144,313,013, 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 | 144,313,013 | |
| -1 | -144,313,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 144,313,013.
Example:
1 x 144,313,013 = 144,313,013
and
-1 x -144,313,013 = 144,313,013
Notice both answers equal 144,313,013
With that explanation out of the way, let's continue. Next, we take the number 144,313,013 and divide it by 2:
144,313,013 ÷ 2 = 72,156,506.5
If the quotient is a whole number, then 2 and 72,156,506.5 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 | 144,313,013 | |
| -1 | -144,313,013 |
Now, we try dividing 144,313,013 by 3:
144,313,013 ÷ 3 = 48,104,337.6667
If the quotient is a whole number, then 3 and 48,104,337.6667 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 | 144,313,013 | |
| -1 | -144,313,013 |
Let's try dividing by 4:
144,313,013 ÷ 4 = 36,078,253.25
If the quotient is a whole number, then 4 and 36,078,253.25 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 | 144,313,013 | |
| -1 | 144,313,013 |
If you did it right, you will end up with this table:
| 1 | 13 | 79 | 83 | 1,027 | 1,079 | 1,693 | 6,557 | 22,009 | 85,241 | 133,747 | 140,519 | 1,738,711 | 1,826,747 | 11,101,001 | 144,313,013 |
| -1 | -13 | -79 | -83 | -1,027 | -1,079 | -1,693 | -6,557 | -22,009 | -85,241 | -133,747 | -140,519 | -1,738,711 | -1,826,747 | -11,101,001 | -144,313,013 |
Here are some more numbers to try:
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