A:
Positive:
1 x 4023042055 x 8046084131 x 12977555155 x 2595511211 x 19066551055 x 3813316541 x 6150512301 x 32705
Negative:
-1 x -402304205-5 x -80460841-31 x -12977555-155 x -2595511-211 x -1906655-1055 x -381331-6541 x -61505-12301 x -32705
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 402,304,205, 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 | 402,304,205 | |
| -1 | -402,304,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 402,304,205.
Example:
1 x 402,304,205 = 402,304,205
and
-1 x -402,304,205 = 402,304,205
Notice both answers equal 402,304,205
With that explanation out of the way, let's continue. Next, we take the number 402,304,205 and divide it by 2:
402,304,205 ÷ 2 = 201,152,102.5
If the quotient is a whole number, then 2 and 201,152,102.5 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 | 402,304,205 | |
| -1 | -402,304,205 |
Now, we try dividing 402,304,205 by 3:
402,304,205 ÷ 3 = 134,101,401.6667
If the quotient is a whole number, then 3 and 134,101,401.6667 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 | 402,304,205 | |
| -1 | -402,304,205 |
Let's try dividing by 4:
402,304,205 ÷ 4 = 100,576,051.25
If the quotient is a whole number, then 4 and 100,576,051.25 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 | 402,304,205 | |
| -1 | 402,304,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 211 | 1,055 | 6,541 | 12,301 | 32,705 | 61,505 | 381,331 | 1,906,655 | 2,595,511 | 12,977,555 | 80,460,841 | 402,304,205 |
| -1 | -5 | -31 | -155 | -211 | -1,055 | -6,541 | -12,301 | -32,705 | -61,505 | -381,331 | -1,906,655 | -2,595,511 | -12,977,555 | -80,460,841 | -402,304,205 |
Here are some more numbers to try:
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