A:
Positive:
1 x 43141244913 x 3318557323 x 18757063299 x 1442851443 x 9738433257 x 1324575759 x 7491110189 x 42341
Negative:
-1 x -431412449-13 x -33185573-23 x -18757063-299 x -1442851-443 x -973843-3257 x -132457-5759 x -74911-10189 x -42341
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 431,412,449, 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 | 431,412,449 | |
| -1 | -431,412,449 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,412,449.
Example:
1 x 431,412,449 = 431,412,449
and
-1 x -431,412,449 = 431,412,449
Notice both answers equal 431,412,449
With that explanation out of the way, let's continue. Next, we take the number 431,412,449 and divide it by 2:
431,412,449 ÷ 2 = 215,706,224.5
If the quotient is a whole number, then 2 and 215,706,224.5 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 | 431,412,449 | |
| -1 | -431,412,449 |
Now, we try dividing 431,412,449 by 3:
431,412,449 ÷ 3 = 143,804,149.6667
If the quotient is a whole number, then 3 and 143,804,149.6667 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 | 431,412,449 | |
| -1 | -431,412,449 |
Let's try dividing by 4:
431,412,449 ÷ 4 = 107,853,112.25
If the quotient is a whole number, then 4 and 107,853,112.25 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 | 431,412,449 | |
| -1 | 431,412,449 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 299 | 443 | 3,257 | 5,759 | 10,189 | 42,341 | 74,911 | 132,457 | 973,843 | 1,442,851 | 18,757,063 | 33,185,573 | 431,412,449 |
| -1 | -13 | -23 | -299 | -443 | -3,257 | -5,759 | -10,189 | -42,341 | -74,911 | -132,457 | -973,843 | -1,442,851 | -18,757,063 | -33,185,573 | -431,412,449 |
Here are some more numbers to try:
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