Q: What are the factor combinations of the number 127,171?
A:
Positive:
1 x 12717111 x 11561121 x 1051
Negative:
-1 x -127171-11 x -11561-121 x -1051
A:
Positive:
1 x 12717111 x 11561121 x 1051
Negative:
-1 x -127171-11 x -11561-121 x -1051
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 127,171, 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 | 127,171 | |
-1 | -127,171 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 127,171.
Example:
1 x 127,171 = 127,171
and
-1 x -127,171 = 127,171
Notice both answers equal 127,171
With that explanation out of the way, let's continue. Next, we take the number 127,171 and divide it by 2:
127,171 ÷ 2 = 63,585.5
If the quotient is a whole number, then 2 and 63,585.5 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 | 127,171 | |
-1 | -127,171 |
Now, we try dividing 127,171 by 3:
127,171 ÷ 3 = 42,390.3333
If the quotient is a whole number, then 3 and 42,390.3333 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 | 127,171 | |
-1 | -127,171 |
Let's try dividing by 4:
127,171 ÷ 4 = 31,792.75
If the quotient is a whole number, then 4 and 31,792.75 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 | 127,171 | |
-1 | 127,171 |
If you did it right, you will end up with this table:
1 | 11 | 121 | 1,051 | 11,561 | 127,171 |
-1 | -11 | -121 | -1,051 | -11,561 | -127,171 |
Here are some more numbers to try:
Try the factor calculator