A:
Positive:
1 x 10556512117 x 620971319 x 5556059317 x 333013323 x 3268271031 x 1023915389 x 195896023 x 17527
Negative:
-1 x -105565121-17 x -6209713-19 x -5556059-317 x -333013-323 x -326827-1031 x -102391-5389 x -19589-6023 x -17527
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 105,565,121, 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 | 105,565,121 | |
| -1 | -105,565,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,565,121.
Example:
1 x 105,565,121 = 105,565,121
and
-1 x -105,565,121 = 105,565,121
Notice both answers equal 105,565,121
With that explanation out of the way, let's continue. Next, we take the number 105,565,121 and divide it by 2:
105,565,121 ÷ 2 = 52,782,560.5
If the quotient is a whole number, then 2 and 52,782,560.5 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 | 105,565,121 | |
| -1 | -105,565,121 |
Now, we try dividing 105,565,121 by 3:
105,565,121 ÷ 3 = 35,188,373.6667
If the quotient is a whole number, then 3 and 35,188,373.6667 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 | 105,565,121 | |
| -1 | -105,565,121 |
Let's try dividing by 4:
105,565,121 ÷ 4 = 26,391,280.25
If the quotient is a whole number, then 4 and 26,391,280.25 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 | 105,565,121 | |
| -1 | 105,565,121 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 317 | 323 | 1,031 | 5,389 | 6,023 | 17,527 | 19,589 | 102,391 | 326,827 | 333,013 | 5,556,059 | 6,209,713 | 105,565,121 |
| -1 | -17 | -19 | -317 | -323 | -1,031 | -5,389 | -6,023 | -17,527 | -19,589 | -102,391 | -326,827 | -333,013 | -5,556,059 | -6,209,713 | -105,565,121 |
Here are some more numbers to try:
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