A:
Positive:
1 x 1261145697 x 1801636767 x 1882307443 x 284683469 x 268901607 x 2077673101 x 406694249 x 29681
Negative:
-1 x -126114569-7 x -18016367-67 x -1882307-443 x -284683-469 x -268901-607 x -207767-3101 x -40669-4249 x -29681
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 126,114,569, 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 | 126,114,569 | |
| -1 | -126,114,569 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 126,114,569.
Example:
1 x 126,114,569 = 126,114,569
and
-1 x -126,114,569 = 126,114,569
Notice both answers equal 126,114,569
With that explanation out of the way, let's continue. Next, we take the number 126,114,569 and divide it by 2:
126,114,569 ÷ 2 = 63,057,284.5
If the quotient is a whole number, then 2 and 63,057,284.5 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 | 126,114,569 | |
| -1 | -126,114,569 |
Now, we try dividing 126,114,569 by 3:
126,114,569 ÷ 3 = 42,038,189.6667
If the quotient is a whole number, then 3 and 42,038,189.6667 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 | 126,114,569 | |
| -1 | -126,114,569 |
Let's try dividing by 4:
126,114,569 ÷ 4 = 31,528,642.25
If the quotient is a whole number, then 4 and 31,528,642.25 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 | 126,114,569 | |
| -1 | 126,114,569 |
If you did it right, you will end up with this table:
| 1 | 7 | 67 | 443 | 469 | 607 | 3,101 | 4,249 | 29,681 | 40,669 | 207,767 | 268,901 | 284,683 | 1,882,307 | 18,016,367 | 126,114,569 |
| -1 | -7 | -67 | -443 | -469 | -607 | -3,101 | -4,249 | -29,681 | -40,669 | -207,767 | -268,901 | -284,683 | -1,882,307 | -18,016,367 | -126,114,569 |
Here are some more numbers to try:
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