A:
Positive:
1 x 231012055 x 462024147 x 491515197 x 117265235 x 98303499 x 46295985 x 234532495 x 9259
Negative:
-1 x -23101205-5 x -4620241-47 x -491515-197 x -117265-235 x -98303-499 x -46295-985 x -23453-2495 x -9259
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 23,101,205, 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 | 23,101,205 | |
| -1 | -23,101,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,101,205.
Example:
1 x 23,101,205 = 23,101,205
and
-1 x -23,101,205 = 23,101,205
Notice both answers equal 23,101,205
With that explanation out of the way, let's continue. Next, we take the number 23,101,205 and divide it by 2:
23,101,205 ÷ 2 = 11,550,602.5
If the quotient is a whole number, then 2 and 11,550,602.5 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 | 23,101,205 | |
| -1 | -23,101,205 |
Now, we try dividing 23,101,205 by 3:
23,101,205 ÷ 3 = 7,700,401.6667
If the quotient is a whole number, then 3 and 7,700,401.6667 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 | 23,101,205 | |
| -1 | -23,101,205 |
Let's try dividing by 4:
23,101,205 ÷ 4 = 5,775,301.25
If the quotient is a whole number, then 4 and 5,775,301.25 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 | 23,101,205 | |
| -1 | 23,101,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 197 | 235 | 499 | 985 | 2,495 | 9,259 | 23,453 | 46,295 | 98,303 | 117,265 | 491,515 | 4,620,241 | 23,101,205 |
| -1 | -5 | -47 | -197 | -235 | -499 | -985 | -2,495 | -9,259 | -23,453 | -46,295 | -98,303 | -117,265 | -491,515 | -4,620,241 | -23,101,205 |
Here are some more numbers to try:
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