Q: What are the factor combinations of the number 62,237?
A:
Positive:
1 x 622377 x 889117 x 3661119 x 523
Negative:
-1 x -62237-7 x -8891-17 x -3661-119 x -523
A:
Positive:
1 x 622377 x 889117 x 3661119 x 523
Negative:
-1 x -62237-7 x -8891-17 x -3661-119 x -523
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 62,237, 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 | 62,237 | |
-1 | -62,237 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 62,237.
Example:
1 x 62,237 = 62,237
and
-1 x -62,237 = 62,237
Notice both answers equal 62,237
With that explanation out of the way, let's continue. Next, we take the number 62,237 and divide it by 2:
62,237 ÷ 2 = 31,118.5
If the quotient is a whole number, then 2 and 31,118.5 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 | 62,237 | |
-1 | -62,237 |
Now, we try dividing 62,237 by 3:
62,237 ÷ 3 = 20,745.6667
If the quotient is a whole number, then 3 and 20,745.6667 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 | 62,237 | |
-1 | -62,237 |
Let's try dividing by 4:
62,237 ÷ 4 = 15,559.25
If the quotient is a whole number, then 4 and 15,559.25 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 | 62,237 | |
-1 | 62,237 |
If you did it right, you will end up with this table:
1 | 7 | 17 | 119 | 523 | 3,661 | 8,891 | 62,237 |
-1 | -7 | -17 | -119 | -523 | -3,661 | -8,891 | -62,237 |
Here are some more numbers to try:
Try the factor calculator