A:
Positive:
1 x 235055655 x 470111319 x 123713595 x 247427181 x 129865905 x 259731367 x 171953439 x 6835
Negative:
-1 x -23505565-5 x -4701113-19 x -1237135-95 x -247427-181 x -129865-905 x -25973-1367 x -17195-3439 x -6835
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 23,505,565, 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 | 23,505,565 | |
| -1 | -23,505,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,505,565.
Example:
1 x 23,505,565 = 23,505,565
and
-1 x -23,505,565 = 23,505,565
Notice both answers equal 23,505,565
With that explanation out of the way, let's continue. Next, we take the number 23,505,565 and divide it by 2:
23,505,565 ÷ 2 = 11,752,782.5
If the quotient is a whole number, then 2 and 11,752,782.5 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 | 23,505,565 | |
| -1 | -23,505,565 |
Now, we try dividing 23,505,565 by 3:
23,505,565 ÷ 3 = 7,835,188.3333
If the quotient is a whole number, then 3 and 7,835,188.3333 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 | 23,505,565 | |
| -1 | -23,505,565 |
Let's try dividing by 4:
23,505,565 ÷ 4 = 5,876,391.25
If the quotient is a whole number, then 4 and 5,876,391.25 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 | 23,505,565 | |
| -1 | 23,505,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 181 | 905 | 1,367 | 3,439 | 6,835 | 17,195 | 25,973 | 129,865 | 247,427 | 1,237,135 | 4,701,113 | 23,505,565 |
| -1 | -5 | -19 | -95 | -181 | -905 | -1,367 | -3,439 | -6,835 | -17,195 | -25,973 | -129,865 | -247,427 | -1,237,135 | -4,701,113 | -23,505,565 |
Here are some more numbers to try:
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