A:
Positive:
1 x 1143111055 x 2286222131 x 368745597 x 1178465155 x 737491485 x 2356933007 x 380157603 x 15035
Negative:
-1 x -114311105-5 x -22862221-31 x -3687455-97 x -1178465-155 x -737491-485 x -235693-3007 x -38015-7603 x -15035
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 114,311,105, 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 | 114,311,105 | |
| -1 | -114,311,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,311,105.
Example:
1 x 114,311,105 = 114,311,105
and
-1 x -114,311,105 = 114,311,105
Notice both answers equal 114,311,105
With that explanation out of the way, let's continue. Next, we take the number 114,311,105 and divide it by 2:
114,311,105 ÷ 2 = 57,155,552.5
If the quotient is a whole number, then 2 and 57,155,552.5 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 | 114,311,105 | |
| -1 | -114,311,105 |
Now, we try dividing 114,311,105 by 3:
114,311,105 ÷ 3 = 38,103,701.6667
If the quotient is a whole number, then 3 and 38,103,701.6667 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 | 114,311,105 | |
| -1 | -114,311,105 |
Let's try dividing by 4:
114,311,105 ÷ 4 = 28,577,776.25
If the quotient is a whole number, then 4 and 28,577,776.25 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 | 114,311,105 | |
| -1 | 114,311,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 97 | 155 | 485 | 3,007 | 7,603 | 15,035 | 38,015 | 235,693 | 737,491 | 1,178,465 | 3,687,455 | 22,862,221 | 114,311,105 |
| -1 | -5 | -31 | -97 | -155 | -485 | -3,007 | -7,603 | -15,035 | -38,015 | -235,693 | -737,491 | -1,178,465 | -3,687,455 | -22,862,221 | -114,311,105 |
Here are some more numbers to try:
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