A:
Positive:
1 x 4053241997 x 5790345761 x 6644659179 x 2264381427 x 9492371253 x 3234835303 x 7643310919 x 37121
Negative:
-1 x -405324199-7 x -57903457-61 x -6644659-179 x -2264381-427 x -949237-1253 x -323483-5303 x -76433-10919 x -37121
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 405,324,199, 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 | 405,324,199 | |
| -1 | -405,324,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,324,199.
Example:
1 x 405,324,199 = 405,324,199
and
-1 x -405,324,199 = 405,324,199
Notice both answers equal 405,324,199
With that explanation out of the way, let's continue. Next, we take the number 405,324,199 and divide it by 2:
405,324,199 ÷ 2 = 202,662,099.5
If the quotient is a whole number, then 2 and 202,662,099.5 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 | 405,324,199 | |
| -1 | -405,324,199 |
Now, we try dividing 405,324,199 by 3:
405,324,199 ÷ 3 = 135,108,066.3333
If the quotient is a whole number, then 3 and 135,108,066.3333 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 | 405,324,199 | |
| -1 | -405,324,199 |
Let's try dividing by 4:
405,324,199 ÷ 4 = 101,331,049.75
If the quotient is a whole number, then 4 and 101,331,049.75 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 | 405,324,199 | |
| -1 | 405,324,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 179 | 427 | 1,253 | 5,303 | 10,919 | 37,121 | 76,433 | 323,483 | 949,237 | 2,264,381 | 6,644,659 | 57,903,457 | 405,324,199 |
| -1 | -7 | -61 | -179 | -427 | -1,253 | -5,303 | -10,919 | -37,121 | -76,433 | -323,483 | -949,237 | -2,264,381 | -6,644,659 | -57,903,457 | -405,324,199 |
Here are some more numbers to try:
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