A:
Positive:
1 x 235325055 x 470650117 x 138426585 x 276853251 x 937551103 x 213351255 x 187514267 x 5515
Negative:
-1 x -23532505-5 x -4706501-17 x -1384265-85 x -276853-251 x -93755-1103 x -21335-1255 x -18751-4267 x -5515
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 23,532,505, 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 | 23,532,505 | |
| -1 | -23,532,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,532,505.
Example:
1 x 23,532,505 = 23,532,505
and
-1 x -23,532,505 = 23,532,505
Notice both answers equal 23,532,505
With that explanation out of the way, let's continue. Next, we take the number 23,532,505 and divide it by 2:
23,532,505 ÷ 2 = 11,766,252.5
If the quotient is a whole number, then 2 and 11,766,252.5 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 | 23,532,505 | |
| -1 | -23,532,505 |
Now, we try dividing 23,532,505 by 3:
23,532,505 ÷ 3 = 7,844,168.3333
If the quotient is a whole number, then 3 and 7,844,168.3333 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 | 23,532,505 | |
| -1 | -23,532,505 |
Let's try dividing by 4:
23,532,505 ÷ 4 = 5,883,126.25
If the quotient is a whole number, then 4 and 5,883,126.25 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 | 23,532,505 | |
| -1 | 23,532,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 251 | 1,103 | 1,255 | 4,267 | 5,515 | 18,751 | 21,335 | 93,755 | 276,853 | 1,384,265 | 4,706,501 | 23,532,505 |
| -1 | -5 | -17 | -85 | -251 | -1,103 | -1,255 | -4,267 | -5,515 | -18,751 | -21,335 | -93,755 | -276,853 | -1,384,265 | -4,706,501 | -23,532,505 |
Here are some more numbers to try:
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