A:
Positive:
1 x 74350514917 x 4373559761 x 12188609409 x 18178611037 x 7169771753 x 4241336953 x 10693324949 x 29801
Negative:
-1 x -743505149-17 x -43735597-61 x -12188609-409 x -1817861-1037 x -716977-1753 x -424133-6953 x -106933-24949 x -29801
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 743,505,149, 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 | 743,505,149 | |
| -1 | -743,505,149 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 743,505,149.
Example:
1 x 743,505,149 = 743,505,149
and
-1 x -743,505,149 = 743,505,149
Notice both answers equal 743,505,149
With that explanation out of the way, let's continue. Next, we take the number 743,505,149 and divide it by 2:
743,505,149 ÷ 2 = 371,752,574.5
If the quotient is a whole number, then 2 and 371,752,574.5 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 | 743,505,149 | |
| -1 | -743,505,149 |
Now, we try dividing 743,505,149 by 3:
743,505,149 ÷ 3 = 247,835,049.6667
If the quotient is a whole number, then 3 and 247,835,049.6667 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 | 743,505,149 | |
| -1 | -743,505,149 |
Let's try dividing by 4:
743,505,149 ÷ 4 = 185,876,287.25
If the quotient is a whole number, then 4 and 185,876,287.25 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 | 743,505,149 | |
| -1 | 743,505,149 |
If you did it right, you will end up with this table:
| 1 | 17 | 61 | 409 | 1,037 | 1,753 | 6,953 | 24,949 | 29,801 | 106,933 | 424,133 | 716,977 | 1,817,861 | 12,188,609 | 43,735,597 | 743,505,149 |
| -1 | -17 | -61 | -409 | -1,037 | -1,753 | -6,953 | -24,949 | -29,801 | -106,933 | -424,133 | -716,977 | -1,817,861 | -12,188,609 | -43,735,597 | -743,505,149 |
Here are some more numbers to try:
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