A:
Positive:
1 x 1052330055 x 2104660171 x 1482155251 x 419255355 x 2964311181 x 891051255 x 838515905 x 17821
Negative:
-1 x -105233005-5 x -21046601-71 x -1482155-251 x -419255-355 x -296431-1181 x -89105-1255 x -83851-5905 x -17821
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 105,233,005, 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 | 105,233,005 | |
| -1 | -105,233,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,233,005.
Example:
1 x 105,233,005 = 105,233,005
and
-1 x -105,233,005 = 105,233,005
Notice both answers equal 105,233,005
With that explanation out of the way, let's continue. Next, we take the number 105,233,005 and divide it by 2:
105,233,005 ÷ 2 = 52,616,502.5
If the quotient is a whole number, then 2 and 52,616,502.5 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 | 105,233,005 | |
| -1 | -105,233,005 |
Now, we try dividing 105,233,005 by 3:
105,233,005 ÷ 3 = 35,077,668.3333
If the quotient is a whole number, then 3 and 35,077,668.3333 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 | 105,233,005 | |
| -1 | -105,233,005 |
Let's try dividing by 4:
105,233,005 ÷ 4 = 26,308,251.25
If the quotient is a whole number, then 4 and 26,308,251.25 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 | 105,233,005 | |
| -1 | 105,233,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 71 | 251 | 355 | 1,181 | 1,255 | 5,905 | 17,821 | 83,851 | 89,105 | 296,431 | 419,255 | 1,482,155 | 21,046,601 | 105,233,005 |
| -1 | -5 | -71 | -251 | -355 | -1,181 | -1,255 | -5,905 | -17,821 | -83,851 | -89,105 | -296,431 | -419,255 | -1,482,155 | -21,046,601 | -105,233,005 |
Here are some more numbers to try:
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