A:
Positive:
1 x 1811285055 x 3622570131 x 584285537 x 4895365155 x 1168571185 x 9790731147 x 1579155735 x 31583
Negative:
-1 x -181128505-5 x -36225701-31 x -5842855-37 x -4895365-155 x -1168571-185 x -979073-1147 x -157915-5735 x -31583
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 181,128,505, 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 | 181,128,505 | |
| -1 | -181,128,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 181,128,505.
Example:
1 x 181,128,505 = 181,128,505
and
-1 x -181,128,505 = 181,128,505
Notice both answers equal 181,128,505
With that explanation out of the way, let's continue. Next, we take the number 181,128,505 and divide it by 2:
181,128,505 ÷ 2 = 90,564,252.5
If the quotient is a whole number, then 2 and 90,564,252.5 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 | 181,128,505 | |
| -1 | -181,128,505 |
Now, we try dividing 181,128,505 by 3:
181,128,505 ÷ 3 = 60,376,168.3333
If the quotient is a whole number, then 3 and 60,376,168.3333 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 | 181,128,505 | |
| -1 | -181,128,505 |
Let's try dividing by 4:
181,128,505 ÷ 4 = 45,282,126.25
If the quotient is a whole number, then 4 and 45,282,126.25 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 | 181,128,505 | |
| -1 | 181,128,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 37 | 155 | 185 | 1,147 | 5,735 | 31,583 | 157,915 | 979,073 | 1,168,571 | 4,895,365 | 5,842,855 | 36,225,701 | 181,128,505 |
| -1 | -5 | -31 | -37 | -155 | -185 | -1,147 | -5,735 | -31,583 | -157,915 | -979,073 | -1,168,571 | -4,895,365 | -5,842,855 | -36,225,701 | -181,128,505 |
Here are some more numbers to try:
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