A:
Positive:
1 x 1052355055 x 2104710179 x 1332095263 x 400135395 x 2664191013 x 1038851315 x 800275065 x 20777
Negative:
-1 x -105235505-5 x -21047101-79 x -1332095-263 x -400135-395 x -266419-1013 x -103885-1315 x -80027-5065 x -20777
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 105,235,505, 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 | 105,235,505 | |
| -1 | -105,235,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,235,505.
Example:
1 x 105,235,505 = 105,235,505
and
-1 x -105,235,505 = 105,235,505
Notice both answers equal 105,235,505
With that explanation out of the way, let's continue. Next, we take the number 105,235,505 and divide it by 2:
105,235,505 ÷ 2 = 52,617,752.5
If the quotient is a whole number, then 2 and 52,617,752.5 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 | 105,235,505 | |
| -1 | -105,235,505 |
Now, we try dividing 105,235,505 by 3:
105,235,505 ÷ 3 = 35,078,501.6667
If the quotient is a whole number, then 3 and 35,078,501.6667 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 | 105,235,505 | |
| -1 | -105,235,505 |
Let's try dividing by 4:
105,235,505 ÷ 4 = 26,308,876.25
If the quotient is a whole number, then 4 and 26,308,876.25 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 | 105,235,505 | |
| -1 | 105,235,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 79 | 263 | 395 | 1,013 | 1,315 | 5,065 | 20,777 | 80,027 | 103,885 | 266,419 | 400,135 | 1,332,095 | 21,047,101 | 105,235,505 |
| -1 | -5 | -79 | -263 | -395 | -1,013 | -1,315 | -5,065 | -20,777 | -80,027 | -103,885 | -266,419 | -400,135 | -1,332,095 | -21,047,101 | -105,235,505 |
Here are some more numbers to try:
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