A:
Positive:
1 x 4120314355 x 8240628719 x 2168586595 x 4337173151 x 2728685755 x 5457372869 x 14361514345 x 28723
Negative:
-1 x -412031435-5 x -82406287-19 x -21685865-95 x -4337173-151 x -2728685-755 x -545737-2869 x -143615-14345 x -28723
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 412,031,435, 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 | 412,031,435 | |
| -1 | -412,031,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,031,435.
Example:
1 x 412,031,435 = 412,031,435
and
-1 x -412,031,435 = 412,031,435
Notice both answers equal 412,031,435
With that explanation out of the way, let's continue. Next, we take the number 412,031,435 and divide it by 2:
412,031,435 ÷ 2 = 206,015,717.5
If the quotient is a whole number, then 2 and 206,015,717.5 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 | 412,031,435 | |
| -1 | -412,031,435 |
Now, we try dividing 412,031,435 by 3:
412,031,435 ÷ 3 = 137,343,811.6667
If the quotient is a whole number, then 3 and 137,343,811.6667 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 | 412,031,435 | |
| -1 | -412,031,435 |
Let's try dividing by 4:
412,031,435 ÷ 4 = 103,007,858.75
If the quotient is a whole number, then 4 and 103,007,858.75 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 | 412,031,435 | |
| -1 | 412,031,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 151 | 755 | 2,869 | 14,345 | 28,723 | 143,615 | 545,737 | 2,728,685 | 4,337,173 | 21,685,865 | 82,406,287 | 412,031,435 |
| -1 | -5 | -19 | -95 | -151 | -755 | -2,869 | -14,345 | -28,723 | -143,615 | -545,737 | -2,728,685 | -4,337,173 | -21,685,865 | -82,406,287 | -412,031,435 |
Here are some more numbers to try:
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