Q: What are the factor combinations of the number 127,339?
A:
Positive:
1 x 12733929 x 4391
Negative:
-1 x -127339-29 x -4391
A:
Positive:
1 x 12733929 x 4391
Negative:
-1 x -127339-29 x -4391
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 127,339, 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 | 127,339 | |
-1 | -127,339 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 127,339.
Example:
1 x 127,339 = 127,339
and
-1 x -127,339 = 127,339
Notice both answers equal 127,339
With that explanation out of the way, let's continue. Next, we take the number 127,339 and divide it by 2:
127,339 ÷ 2 = 63,669.5
If the quotient is a whole number, then 2 and 63,669.5 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 | 127,339 | |
-1 | -127,339 |
Now, we try dividing 127,339 by 3:
127,339 ÷ 3 = 42,446.3333
If the quotient is a whole number, then 3 and 42,446.3333 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 | 127,339 | |
-1 | -127,339 |
Let's try dividing by 4:
127,339 ÷ 4 = 31,834.75
If the quotient is a whole number, then 4 and 31,834.75 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 | 127,339 | |
-1 | 127,339 |
If you did it right, you will end up with this table:
1 | 29 | 4,391 | 127,339 |
-1 | -29 | -4,391 | -127,339 |
Here are some more numbers to try:
Try the factor calculator