A:
Positive:
1 x 1050200655 x 2100401341 x 2561465205 x 512293359 x 2925351427 x 735951795 x 585077135 x 14719
Negative:
-1 x -105020065-5 x -21004013-41 x -2561465-205 x -512293-359 x -292535-1427 x -73595-1795 x -58507-7135 x -14719
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 105,020,065, 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 | 105,020,065 | |
| -1 | -105,020,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,020,065.
Example:
1 x 105,020,065 = 105,020,065
and
-1 x -105,020,065 = 105,020,065
Notice both answers equal 105,020,065
With that explanation out of the way, let's continue. Next, we take the number 105,020,065 and divide it by 2:
105,020,065 ÷ 2 = 52,510,032.5
If the quotient is a whole number, then 2 and 52,510,032.5 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 | 105,020,065 | |
| -1 | -105,020,065 |
Now, we try dividing 105,020,065 by 3:
105,020,065 ÷ 3 = 35,006,688.3333
If the quotient is a whole number, then 3 and 35,006,688.3333 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 | 105,020,065 | |
| -1 | -105,020,065 |
Let's try dividing by 4:
105,020,065 ÷ 4 = 26,255,016.25
If the quotient is a whole number, then 4 and 26,255,016.25 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 | 105,020,065 | |
| -1 | 105,020,065 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 359 | 1,427 | 1,795 | 7,135 | 14,719 | 58,507 | 73,595 | 292,535 | 512,293 | 2,561,465 | 21,004,013 | 105,020,065 |
| -1 | -5 | -41 | -205 | -359 | -1,427 | -1,795 | -7,135 | -14,719 | -58,507 | -73,595 | -292,535 | -512,293 | -2,561,465 | -21,004,013 | -105,020,065 |
Here are some more numbers to try:
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