A:
Positive:
1 x 1145357577 x 1636225137 x 309556147 x 243693197 x 1180781259 x 442223329 x 348133679 x 1686831739 x 658633589 x 319134559 x 251239409 x 12173
Negative:
-1 x -114535757-7 x -16362251-37 x -3095561-47 x -2436931-97 x -1180781-259 x -442223-329 x -348133-679 x -168683-1739 x -65863-3589 x -31913-4559 x -25123-9409 x -12173
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 114,535,757, 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 | 114,535,757 | |
| -1 | -114,535,757 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,535,757.
Example:
1 x 114,535,757 = 114,535,757
and
-1 x -114,535,757 = 114,535,757
Notice both answers equal 114,535,757
With that explanation out of the way, let's continue. Next, we take the number 114,535,757 and divide it by 2:
114,535,757 ÷ 2 = 57,267,878.5
If the quotient is a whole number, then 2 and 57,267,878.5 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 | 114,535,757 | |
| -1 | -114,535,757 |
Now, we try dividing 114,535,757 by 3:
114,535,757 ÷ 3 = 38,178,585.6667
If the quotient is a whole number, then 3 and 38,178,585.6667 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 | 114,535,757 | |
| -1 | -114,535,757 |
Let's try dividing by 4:
114,535,757 ÷ 4 = 28,633,939.25
If the quotient is a whole number, then 4 and 28,633,939.25 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 | 114,535,757 | |
| -1 | 114,535,757 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 47 | 97 | 259 | 329 | 679 | 1,739 | 3,589 | 4,559 | 9,409 | 12,173 | 25,123 | 31,913 | 65,863 | 168,683 | 348,133 | 442,223 | 1,180,781 | 2,436,931 | 3,095,561 | 16,362,251 | 114,535,757 |
| -1 | -7 | -37 | -47 | -97 | -259 | -329 | -679 | -1,739 | -3,589 | -4,559 | -9,409 | -12,173 | -25,123 | -31,913 | -65,863 | -168,683 | -348,133 | -442,223 | -1,180,781 | -2,436,931 | -3,095,561 | -16,362,251 | -114,535,757 |
Here are some more numbers to try:
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