A:
Positive:
1 x 1143074155 x 2286148329 x 394163573 x 1565855145 x 788327365 x 3131712117 x 5399510585 x 10799
Negative:
-1 x -114307415-5 x -22861483-29 x -3941635-73 x -1565855-145 x -788327-365 x -313171-2117 x -53995-10585 x -10799
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 114,307,415, 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 | 114,307,415 | |
| -1 | -114,307,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,307,415.
Example:
1 x 114,307,415 = 114,307,415
and
-1 x -114,307,415 = 114,307,415
Notice both answers equal 114,307,415
With that explanation out of the way, let's continue. Next, we take the number 114,307,415 and divide it by 2:
114,307,415 ÷ 2 = 57,153,707.5
If the quotient is a whole number, then 2 and 57,153,707.5 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 | 114,307,415 | |
| -1 | -114,307,415 |
Now, we try dividing 114,307,415 by 3:
114,307,415 ÷ 3 = 38,102,471.6667
If the quotient is a whole number, then 3 and 38,102,471.6667 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 | 114,307,415 | |
| -1 | -114,307,415 |
Let's try dividing by 4:
114,307,415 ÷ 4 = 28,576,853.75
If the quotient is a whole number, then 4 and 28,576,853.75 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 | 114,307,415 | |
| -1 | 114,307,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 73 | 145 | 365 | 2,117 | 10,585 | 10,799 | 53,995 | 313,171 | 788,327 | 1,565,855 | 3,941,635 | 22,861,483 | 114,307,415 |
| -1 | -5 | -29 | -73 | -145 | -365 | -2,117 | -10,585 | -10,799 | -53,995 | -313,171 | -788,327 | -1,565,855 | -3,941,635 | -22,861,483 | -114,307,415 |
Here are some more numbers to try:
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