A:
Positive:
1 x 12758612911 x 1159873923 x 5547223101 x 1263229253 x 5042931111 x 1148392323 x 549234993 x 25553
Negative:
-1 x -127586129-11 x -11598739-23 x -5547223-101 x -1263229-253 x -504293-1111 x -114839-2323 x -54923-4993 x -25553
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 127,586,129, 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 | 127,586,129 | |
| -1 | -127,586,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 127,586,129.
Example:
1 x 127,586,129 = 127,586,129
and
-1 x -127,586,129 = 127,586,129
Notice both answers equal 127,586,129
With that explanation out of the way, let's continue. Next, we take the number 127,586,129 and divide it by 2:
127,586,129 ÷ 2 = 63,793,064.5
If the quotient is a whole number, then 2 and 63,793,064.5 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 | 127,586,129 | |
| -1 | -127,586,129 |
Now, we try dividing 127,586,129 by 3:
127,586,129 ÷ 3 = 42,528,709.6667
If the quotient is a whole number, then 3 and 42,528,709.6667 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 | 127,586,129 | |
| -1 | -127,586,129 |
Let's try dividing by 4:
127,586,129 ÷ 4 = 31,896,532.25
If the quotient is a whole number, then 4 and 31,896,532.25 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 | 127,586,129 | |
| -1 | 127,586,129 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 101 | 253 | 1,111 | 2,323 | 4,993 | 25,553 | 54,923 | 114,839 | 504,293 | 1,263,229 | 5,547,223 | 11,598,739 | 127,586,129 |
| -1 | -11 | -23 | -101 | -253 | -1,111 | -2,323 | -4,993 | -25,553 | -54,923 | -114,839 | -504,293 | -1,263,229 | -5,547,223 | -11,598,739 | -127,586,129 |
Here are some more numbers to try:
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