Q: What are the factor combinations of the number 236,927?
A:
Positive:
1 x 23692747 x 504171 x 3337
Negative:
-1 x -236927-47 x -5041-71 x -3337
A:
Positive:
1 x 23692747 x 504171 x 3337
Negative:
-1 x -236927-47 x -5041-71 x -3337
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 236,927, 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 | 236,927 | |
-1 | -236,927 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 236,927.
Example:
1 x 236,927 = 236,927
and
-1 x -236,927 = 236,927
Notice both answers equal 236,927
With that explanation out of the way, let's continue. Next, we take the number 236,927 and divide it by 2:
236,927 ÷ 2 = 118,463.5
If the quotient is a whole number, then 2 and 118,463.5 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 | 236,927 | |
-1 | -236,927 |
Now, we try dividing 236,927 by 3:
236,927 ÷ 3 = 78,975.6667
If the quotient is a whole number, then 3 and 78,975.6667 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 | 236,927 | |
-1 | -236,927 |
Let's try dividing by 4:
236,927 ÷ 4 = 59,231.75
If the quotient is a whole number, then 4 and 59,231.75 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 | 236,927 | |
-1 | 236,927 |
If you did it right, you will end up with this table:
1 | 47 | 71 | 3,337 | 5,041 | 236,927 |
-1 | -47 | -71 | -3,337 | -5,041 | -236,927 |
Here are some more numbers to try:
Try the factor calculator