Q: What are the factor combinations of the number 62,239?
A:
Positive:
1 x 62239109 x 571
Negative:
-1 x -62239-109 x -571
A:
Positive:
1 x 62239109 x 571
Negative:
-1 x -62239-109 x -571
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 62,239, 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 | 62,239 | |
-1 | -62,239 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 62,239.
Example:
1 x 62,239 = 62,239
and
-1 x -62,239 = 62,239
Notice both answers equal 62,239
With that explanation out of the way, let's continue. Next, we take the number 62,239 and divide it by 2:
62,239 ÷ 2 = 31,119.5
If the quotient is a whole number, then 2 and 31,119.5 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 | 62,239 | |
-1 | -62,239 |
Now, we try dividing 62,239 by 3:
62,239 ÷ 3 = 20,746.3333
If the quotient is a whole number, then 3 and 20,746.3333 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 | 62,239 | |
-1 | -62,239 |
Let's try dividing by 4:
62,239 ÷ 4 = 15,559.75
If the quotient is a whole number, then 4 and 15,559.75 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 | 62,239 | |
-1 | 62,239 |
If you did it right, you will end up with this table:
1 | 109 | 571 | 62,239 |
-1 | -109 | -571 | -62,239 |
Here are some more numbers to try:
Try the factor calculator