A:
Positive:
1 x 232713055 x 465426173 x 318785103 x 225935365 x 63757515 x 45187619 x 375953095 x 7519
Negative:
-1 x -23271305-5 x -4654261-73 x -318785-103 x -225935-365 x -63757-515 x -45187-619 x -37595-3095 x -7519
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 23,271,305, 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 | 23,271,305 | |
| -1 | -23,271,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,271,305.
Example:
1 x 23,271,305 = 23,271,305
and
-1 x -23,271,305 = 23,271,305
Notice both answers equal 23,271,305
With that explanation out of the way, let's continue. Next, we take the number 23,271,305 and divide it by 2:
23,271,305 ÷ 2 = 11,635,652.5
If the quotient is a whole number, then 2 and 11,635,652.5 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 | 23,271,305 | |
| -1 | -23,271,305 |
Now, we try dividing 23,271,305 by 3:
23,271,305 ÷ 3 = 7,757,101.6667
If the quotient is a whole number, then 3 and 7,757,101.6667 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 | 23,271,305 | |
| -1 | -23,271,305 |
Let's try dividing by 4:
23,271,305 ÷ 4 = 5,817,826.25
If the quotient is a whole number, then 4 and 5,817,826.25 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 | 23,271,305 | |
| -1 | 23,271,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 73 | 103 | 365 | 515 | 619 | 3,095 | 7,519 | 37,595 | 45,187 | 63,757 | 225,935 | 318,785 | 4,654,261 | 23,271,305 |
| -1 | -5 | -73 | -103 | -365 | -515 | -619 | -3,095 | -7,519 | -37,595 | -45,187 | -63,757 | -225,935 | -318,785 | -4,654,261 | -23,271,305 |
Here are some more numbers to try:
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