A:
Positive:
1 x 18062514123 x 785326773 x 2474317179 x 1009079601 x 3005411679 x 1075794117 x 4387313067 x 13823
Negative:
-1 x -180625141-23 x -7853267-73 x -2474317-179 x -1009079-601 x -300541-1679 x -107579-4117 x -43873-13067 x -13823
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 180,625,141, 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 | 180,625,141 | |
| -1 | -180,625,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 180,625,141.
Example:
1 x 180,625,141 = 180,625,141
and
-1 x -180,625,141 = 180,625,141
Notice both answers equal 180,625,141
With that explanation out of the way, let's continue. Next, we take the number 180,625,141 and divide it by 2:
180,625,141 ÷ 2 = 90,312,570.5
If the quotient is a whole number, then 2 and 90,312,570.5 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 | 180,625,141 | |
| -1 | -180,625,141 |
Now, we try dividing 180,625,141 by 3:
180,625,141 ÷ 3 = 60,208,380.3333
If the quotient is a whole number, then 3 and 60,208,380.3333 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 | 180,625,141 | |
| -1 | -180,625,141 |
Let's try dividing by 4:
180,625,141 ÷ 4 = 45,156,285.25
If the quotient is a whole number, then 4 and 45,156,285.25 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 | 180,625,141 | |
| -1 | 180,625,141 |
If you did it right, you will end up with this table:
| 1 | 23 | 73 | 179 | 601 | 1,679 | 4,117 | 13,067 | 13,823 | 43,873 | 107,579 | 300,541 | 1,009,079 | 2,474,317 | 7,853,267 | 180,625,141 |
| -1 | -23 | -73 | -179 | -601 | -1,679 | -4,117 | -13,067 | -13,823 | -43,873 | -107,579 | -300,541 | -1,009,079 | -2,474,317 | -7,853,267 | -180,625,141 |
Here are some more numbers to try:
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