A:
Positive:
1 x 4626271255 x 9252542525 x 1850508571 x 6515875125 x 3701017355 x 13031751775 x 2606358875 x 52127
Negative:
-1 x -462627125-5 x -92525425-25 x -18505085-71 x -6515875-125 x -3701017-355 x -1303175-1775 x -260635-8875 x -52127
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 462,627,125, 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 | 462,627,125 | |
| -1 | -462,627,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 462,627,125.
Example:
1 x 462,627,125 = 462,627,125
and
-1 x -462,627,125 = 462,627,125
Notice both answers equal 462,627,125
With that explanation out of the way, let's continue. Next, we take the number 462,627,125 and divide it by 2:
462,627,125 ÷ 2 = 231,313,562.5
If the quotient is a whole number, then 2 and 231,313,562.5 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 | 462,627,125 | |
| -1 | -462,627,125 |
Now, we try dividing 462,627,125 by 3:
462,627,125 ÷ 3 = 154,209,041.6667
If the quotient is a whole number, then 3 and 154,209,041.6667 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 | 462,627,125 | |
| -1 | -462,627,125 |
Let's try dividing by 4:
462,627,125 ÷ 4 = 115,656,781.25
If the quotient is a whole number, then 4 and 115,656,781.25 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 | 462,627,125 | |
| -1 | 462,627,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 71 | 125 | 355 | 1,775 | 8,875 | 52,127 | 260,635 | 1,303,175 | 3,701,017 | 6,515,875 | 18,505,085 | 92,525,425 | 462,627,125 |
| -1 | -5 | -25 | -71 | -125 | -355 | -1,775 | -8,875 | -52,127 | -260,635 | -1,303,175 | -3,701,017 | -6,515,875 | -18,505,085 | -92,525,425 | -462,627,125 |
Here are some more numbers to try:
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