Q: What are the factor combinations of the number 543,805?
A:
Positive:
1 x 5438055 x 108761
Negative:
-1 x -543805-5 x -108761
A:
Positive:
1 x 5438055 x 108761
Negative:
-1 x -543805-5 x -108761
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 543,805, 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 | 543,805 | |
-1 | -543,805 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 543,805.
Example:
1 x 543,805 = 543,805
and
-1 x -543,805 = 543,805
Notice both answers equal 543,805
With that explanation out of the way, let's continue. Next, we take the number 543,805 and divide it by 2:
543,805 ÷ 2 = 271,902.5
If the quotient is a whole number, then 2 and 271,902.5 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 | 543,805 | |
-1 | -543,805 |
Now, we try dividing 543,805 by 3:
543,805 ÷ 3 = 181,268.3333
If the quotient is a whole number, then 3 and 181,268.3333 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 | 543,805 | |
-1 | -543,805 |
Let's try dividing by 4:
543,805 ÷ 4 = 135,951.25
If the quotient is a whole number, then 4 and 135,951.25 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 | 543,805 | |
-1 | 543,805 |
If you did it right, you will end up with this table:
1 | 5 | 108,761 | 543,805 |
-1 | -5 | -108,761 | -543,805 |
Here are some more numbers to try:
Try the factor calculator