A:
Positive:
1 x 4143424455 x 8286848911 x 3766749517 x 2437308555 x 753349985 x 4874617187 x 2215735935 x 443147
Negative:
-1 x -414342445-5 x -82868489-11 x -37667495-17 x -24373085-55 x -7533499-85 x -4874617-187 x -2215735-935 x -443147
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 414,342,445, 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 | 414,342,445 | |
| -1 | -414,342,445 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,342,445.
Example:
1 x 414,342,445 = 414,342,445
and
-1 x -414,342,445 = 414,342,445
Notice both answers equal 414,342,445
With that explanation out of the way, let's continue. Next, we take the number 414,342,445 and divide it by 2:
414,342,445 ÷ 2 = 207,171,222.5
If the quotient is a whole number, then 2 and 207,171,222.5 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 | 414,342,445 | |
| -1 | -414,342,445 |
Now, we try dividing 414,342,445 by 3:
414,342,445 ÷ 3 = 138,114,148.3333
If the quotient is a whole number, then 3 and 138,114,148.3333 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 | 414,342,445 | |
| -1 | -414,342,445 |
Let's try dividing by 4:
414,342,445 ÷ 4 = 103,585,611.25
If the quotient is a whole number, then 4 and 103,585,611.25 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 | 414,342,445 | |
| -1 | 414,342,445 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 55 | 85 | 187 | 935 | 443,147 | 2,215,735 | 4,874,617 | 7,533,499 | 24,373,085 | 37,667,495 | 82,868,489 | 414,342,445 |
| -1 | -5 | -11 | -17 | -55 | -85 | -187 | -935 | -443,147 | -2,215,735 | -4,874,617 | -7,533,499 | -24,373,085 | -37,667,495 | -82,868,489 | -414,342,445 |
Here are some more numbers to try:
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