A:
Positive:
1 x 1144142237 x 1634488911 x 1040129361 x 187564377 x 1485899427 x 267949671 x 1705134697 x 24359
Negative:
-1 x -114414223-7 x -16344889-11 x -10401293-61 x -1875643-77 x -1485899-427 x -267949-671 x -170513-4697 x -24359
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 114,414,223, 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 | 114,414,223 | |
| -1 | -114,414,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,414,223.
Example:
1 x 114,414,223 = 114,414,223
and
-1 x -114,414,223 = 114,414,223
Notice both answers equal 114,414,223
With that explanation out of the way, let's continue. Next, we take the number 114,414,223 and divide it by 2:
114,414,223 ÷ 2 = 57,207,111.5
If the quotient is a whole number, then 2 and 57,207,111.5 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 | 114,414,223 | |
| -1 | -114,414,223 |
Now, we try dividing 114,414,223 by 3:
114,414,223 ÷ 3 = 38,138,074.3333
If the quotient is a whole number, then 3 and 38,138,074.3333 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 | 114,414,223 | |
| -1 | -114,414,223 |
Let's try dividing by 4:
114,414,223 ÷ 4 = 28,603,555.75
If the quotient is a whole number, then 4 and 28,603,555.75 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 | 114,414,223 | |
| -1 | 114,414,223 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 61 | 77 | 427 | 671 | 4,697 | 24,359 | 170,513 | 267,949 | 1,485,899 | 1,875,643 | 10,401,293 | 16,344,889 | 114,414,223 |
| -1 | -7 | -11 | -61 | -77 | -427 | -671 | -4,697 | -24,359 | -170,513 | -267,949 | -1,485,899 | -1,875,643 | -10,401,293 | -16,344,889 | -114,414,223 |
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