A:
Positive:
1 x 4054341417 x 5791916319 x 21338639133 x 30483771093 x 3709372789 x 1453697651 x 5299119523 x 20767
Negative:
-1 x -405434141-7 x -57919163-19 x -21338639-133 x -3048377-1093 x -370937-2789 x -145369-7651 x -52991-19523 x -20767
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 405,434,141, 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 | 405,434,141 | |
| -1 | -405,434,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,434,141.
Example:
1 x 405,434,141 = 405,434,141
and
-1 x -405,434,141 = 405,434,141
Notice both answers equal 405,434,141
With that explanation out of the way, let's continue. Next, we take the number 405,434,141 and divide it by 2:
405,434,141 ÷ 2 = 202,717,070.5
If the quotient is a whole number, then 2 and 202,717,070.5 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 | 405,434,141 | |
| -1 | -405,434,141 |
Now, we try dividing 405,434,141 by 3:
405,434,141 ÷ 3 = 135,144,713.6667
If the quotient is a whole number, then 3 and 135,144,713.6667 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 | 405,434,141 | |
| -1 | -405,434,141 |
Let's try dividing by 4:
405,434,141 ÷ 4 = 101,358,535.25
If the quotient is a whole number, then 4 and 101,358,535.25 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 | 405,434,141 | |
| -1 | 405,434,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 1,093 | 2,789 | 7,651 | 19,523 | 20,767 | 52,991 | 145,369 | 370,937 | 3,048,377 | 21,338,639 | 57,919,163 | 405,434,141 |
| -1 | -7 | -19 | -133 | -1,093 | -2,789 | -7,651 | -19,523 | -20,767 | -52,991 | -145,369 | -370,937 | -3,048,377 | -21,338,639 | -57,919,163 | -405,434,141 |
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