A:
Positive:
1 x 12608217713 x 969862931 x 406716753 x 2378909403 x 312859689 x 1829931643 x 767395903 x 21359
Negative:
-1 x -126082177-13 x -9698629-31 x -4067167-53 x -2378909-403 x -312859-689 x -182993-1643 x -76739-5903 x -21359
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 126,082,177, 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 | 126,082,177 | |
| -1 | -126,082,177 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 126,082,177.
Example:
1 x 126,082,177 = 126,082,177
and
-1 x -126,082,177 = 126,082,177
Notice both answers equal 126,082,177
With that explanation out of the way, let's continue. Next, we take the number 126,082,177 and divide it by 2:
126,082,177 ÷ 2 = 63,041,088.5
If the quotient is a whole number, then 2 and 63,041,088.5 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 | 126,082,177 | |
| -1 | -126,082,177 |
Now, we try dividing 126,082,177 by 3:
126,082,177 ÷ 3 = 42,027,392.3333
If the quotient is a whole number, then 3 and 42,027,392.3333 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 | 126,082,177 | |
| -1 | -126,082,177 |
Let's try dividing by 4:
126,082,177 ÷ 4 = 31,520,544.25
If the quotient is a whole number, then 4 and 31,520,544.25 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 | 126,082,177 | |
| -1 | 126,082,177 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 53 | 403 | 689 | 1,643 | 5,903 | 21,359 | 76,739 | 182,993 | 312,859 | 2,378,909 | 4,067,167 | 9,698,629 | 126,082,177 |
| -1 | -13 | -31 | -53 | -403 | -689 | -1,643 | -5,903 | -21,359 | -76,739 | -182,993 | -312,859 | -2,378,909 | -4,067,167 | -9,698,629 | -126,082,177 |
Here are some more numbers to try:
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