A:
Positive:
1 x 4017204055 x 8034408143 x 9342335215 x 1868467467 x 8602152335 x 1720434001 x 10040520005 x 20081
Negative:
-1 x -401720405-5 x -80344081-43 x -9342335-215 x -1868467-467 x -860215-2335 x -172043-4001 x -100405-20005 x -20081
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 401,720,405, 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 | 401,720,405 | |
| -1 | -401,720,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,720,405.
Example:
1 x 401,720,405 = 401,720,405
and
-1 x -401,720,405 = 401,720,405
Notice both answers equal 401,720,405
With that explanation out of the way, let's continue. Next, we take the number 401,720,405 and divide it by 2:
401,720,405 ÷ 2 = 200,860,202.5
If the quotient is a whole number, then 2 and 200,860,202.5 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 | 401,720,405 | |
| -1 | -401,720,405 |
Now, we try dividing 401,720,405 by 3:
401,720,405 ÷ 3 = 133,906,801.6667
If the quotient is a whole number, then 3 and 133,906,801.6667 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 | 401,720,405 | |
| -1 | -401,720,405 |
Let's try dividing by 4:
401,720,405 ÷ 4 = 100,430,101.25
If the quotient is a whole number, then 4 and 100,430,101.25 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 | 401,720,405 | |
| -1 | 401,720,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 467 | 2,335 | 4,001 | 20,005 | 20,081 | 100,405 | 172,043 | 860,215 | 1,868,467 | 9,342,335 | 80,344,081 | 401,720,405 |
| -1 | -5 | -43 | -215 | -467 | -2,335 | -4,001 | -20,005 | -20,081 | -100,405 | -172,043 | -860,215 | -1,868,467 | -9,342,335 | -80,344,081 | -401,720,405 |
Here are some more numbers to try:
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