A:
Positive:
1 x 461232255 x 922464525 x 184492973 x 631825127 x 363175199 x 231775365 x 126365635 x 72635995 x 463551825 x 252733175 x 145274975 x 9271
Negative:
-1 x -46123225-5 x -9224645-25 x -1844929-73 x -631825-127 x -363175-199 x -231775-365 x -126365-635 x -72635-995 x -46355-1825 x -25273-3175 x -14527-4975 x -9271
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 46,123,225, 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 | 46,123,225 | |
| -1 | -46,123,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 46,123,225.
Example:
1 x 46,123,225 = 46,123,225
and
-1 x -46,123,225 = 46,123,225
Notice both answers equal 46,123,225
With that explanation out of the way, let's continue. Next, we take the number 46,123,225 and divide it by 2:
46,123,225 ÷ 2 = 23,061,612.5
If the quotient is a whole number, then 2 and 23,061,612.5 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 | 46,123,225 | |
| -1 | -46,123,225 |
Now, we try dividing 46,123,225 by 3:
46,123,225 ÷ 3 = 15,374,408.3333
If the quotient is a whole number, then 3 and 15,374,408.3333 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 | 46,123,225 | |
| -1 | -46,123,225 |
Let's try dividing by 4:
46,123,225 ÷ 4 = 11,530,806.25
If the quotient is a whole number, then 4 and 11,530,806.25 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 | 46,123,225 | |
| -1 | 46,123,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 73 | 127 | 199 | 365 | 635 | 995 | 1,825 | 3,175 | 4,975 | 9,271 | 14,527 | 25,273 | 46,355 | 72,635 | 126,365 | 231,775 | 363,175 | 631,825 | 1,844,929 | 9,224,645 | 46,123,225 |
| -1 | -5 | -25 | -73 | -127 | -199 | -365 | -635 | -995 | -1,825 | -3,175 | -4,975 | -9,271 | -14,527 | -25,273 | -46,355 | -72,635 | -126,365 | -231,775 | -363,175 | -631,825 | -1,844,929 | -9,224,645 | -46,123,225 |
Here are some more numbers to try:
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