Q: What are the factor combinations of the number 124,559?
A:
Positive:
1 x 12455917 x 7327289 x 431
Negative:
-1 x -124559-17 x -7327-289 x -431
A:
Positive:
1 x 12455917 x 7327289 x 431
Negative:
-1 x -124559-17 x -7327-289 x -431
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 124,559, 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 | 124,559 | |
-1 | -124,559 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 124,559.
Example:
1 x 124,559 = 124,559
and
-1 x -124,559 = 124,559
Notice both answers equal 124,559
With that explanation out of the way, let's continue. Next, we take the number 124,559 and divide it by 2:
124,559 ÷ 2 = 62,279.5
If the quotient is a whole number, then 2 and 62,279.5 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 | 124,559 | |
-1 | -124,559 |
Now, we try dividing 124,559 by 3:
124,559 ÷ 3 = 41,519.6667
If the quotient is a whole number, then 3 and 41,519.6667 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 | 124,559 | |
-1 | -124,559 |
Let's try dividing by 4:
124,559 ÷ 4 = 31,139.75
If the quotient is a whole number, then 4 and 31,139.75 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 | 124,559 | |
-1 | 124,559 |
If you did it right, you will end up with this table:
1 | 17 | 289 | 431 | 7,327 | 124,559 |
-1 | -17 | -289 | -431 | -7,327 | -124,559 |
Here are some more numbers to try:
Try the factor calculator