Q: What are the factor combinations of the number 183,835?
A:
Positive:
1 x 1838355 x 36767
Negative:
-1 x -183835-5 x -36767
A:
Positive:
1 x 1838355 x 36767
Negative:
-1 x -183835-5 x -36767
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 183,835, 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 | 183,835 | |
-1 | -183,835 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 183,835.
Example:
1 x 183,835 = 183,835
and
-1 x -183,835 = 183,835
Notice both answers equal 183,835
With that explanation out of the way, let's continue. Next, we take the number 183,835 and divide it by 2:
183,835 ÷ 2 = 91,917.5
If the quotient is a whole number, then 2 and 91,917.5 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 | 183,835 | |
-1 | -183,835 |
Now, we try dividing 183,835 by 3:
183,835 ÷ 3 = 61,278.3333
If the quotient is a whole number, then 3 and 61,278.3333 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 | 183,835 | |
-1 | -183,835 |
Let's try dividing by 4:
183,835 ÷ 4 = 45,958.75
If the quotient is a whole number, then 4 and 45,958.75 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 | 183,835 | |
-1 | 183,835 |
If you did it right, you will end up with this table:
1 | 5 | 36,767 | 183,835 |
-1 | -5 | -36,767 | -183,835 |
Here are some more numbers to try:
Try the factor calculator