A:
Positive:
1 x 4054340297 x 5791914711 x 3685763913 x 3118723377 x 526537791 x 4455319143 x 28352031001 x 405029
Negative:
-1 x -405434029-7 x -57919147-11 x -36857639-13 x -31187233-77 x -5265377-91 x -4455319-143 x -2835203-1001 x -405029
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 405,434,029, 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 | 405,434,029 | |
| -1 | -405,434,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,434,029.
Example:
1 x 405,434,029 = 405,434,029
and
-1 x -405,434,029 = 405,434,029
Notice both answers equal 405,434,029
With that explanation out of the way, let's continue. Next, we take the number 405,434,029 and divide it by 2:
405,434,029 ÷ 2 = 202,717,014.5
If the quotient is a whole number, then 2 and 202,717,014.5 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 | 405,434,029 | |
| -1 | -405,434,029 |
Now, we try dividing 405,434,029 by 3:
405,434,029 ÷ 3 = 135,144,676.3333
If the quotient is a whole number, then 3 and 135,144,676.3333 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 | 405,434,029 | |
| -1 | -405,434,029 |
Let's try dividing by 4:
405,434,029 ÷ 4 = 101,358,507.25
If the quotient is a whole number, then 4 and 101,358,507.25 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 | 405,434,029 | |
| -1 | 405,434,029 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 405,029 | 2,835,203 | 4,455,319 | 5,265,377 | 31,187,233 | 36,857,639 | 57,919,147 | 405,434,029 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -405,029 | -2,835,203 | -4,455,319 | -5,265,377 | -31,187,233 | -36,857,639 | -57,919,147 | -405,434,029 |
Here are some more numbers to try:
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