A:
Positive:
1 x 4543311255 x 9086622525 x 18173245125 x 36346491489 x 3051252441 x 1861257445 x 6102512205 x 37225
Negative:
-1 x -454331125-5 x -90866225-25 x -18173245-125 x -3634649-1489 x -305125-2441 x -186125-7445 x -61025-12205 x -37225
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 454,331,125, 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 | 454,331,125 | |
| -1 | -454,331,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 454,331,125.
Example:
1 x 454,331,125 = 454,331,125
and
-1 x -454,331,125 = 454,331,125
Notice both answers equal 454,331,125
With that explanation out of the way, let's continue. Next, we take the number 454,331,125 and divide it by 2:
454,331,125 ÷ 2 = 227,165,562.5
If the quotient is a whole number, then 2 and 227,165,562.5 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 | 454,331,125 | |
| -1 | -454,331,125 |
Now, we try dividing 454,331,125 by 3:
454,331,125 ÷ 3 = 151,443,708.3333
If the quotient is a whole number, then 3 and 151,443,708.3333 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 | 454,331,125 | |
| -1 | -454,331,125 |
Let's try dividing by 4:
454,331,125 ÷ 4 = 113,582,781.25
If the quotient is a whole number, then 4 and 113,582,781.25 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 | 454,331,125 | |
| -1 | 454,331,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 1,489 | 2,441 | 7,445 | 12,205 | 37,225 | 61,025 | 186,125 | 305,125 | 3,634,649 | 18,173,245 | 90,866,225 | 454,331,125 |
| -1 | -5 | -25 | -125 | -1,489 | -2,441 | -7,445 | -12,205 | -37,225 | -61,025 | -186,125 | -305,125 | -3,634,649 | -18,173,245 | -90,866,225 | -454,331,125 |
Here are some more numbers to try:
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