Q: What are the factor combinations of the number 54,839?
A:
Positive:
1 x 5483929 x 189131 x 176961 x 899
Negative:
-1 x -54839-29 x -1891-31 x -1769-61 x -899
A:
Positive:
1 x 5483929 x 189131 x 176961 x 899
Negative:
-1 x -54839-29 x -1891-31 x -1769-61 x -899
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 54,839, 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 | 54,839 | |
-1 | -54,839 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 54,839.
Example:
1 x 54,839 = 54,839
and
-1 x -54,839 = 54,839
Notice both answers equal 54,839
With that explanation out of the way, let's continue. Next, we take the number 54,839 and divide it by 2:
54,839 ÷ 2 = 27,419.5
If the quotient is a whole number, then 2 and 27,419.5 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 | 54,839 | |
-1 | -54,839 |
Now, we try dividing 54,839 by 3:
54,839 ÷ 3 = 18,279.6667
If the quotient is a whole number, then 3 and 18,279.6667 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 | 54,839 | |
-1 | -54,839 |
Let's try dividing by 4:
54,839 ÷ 4 = 13,709.75
If the quotient is a whole number, then 4 and 13,709.75 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 | 54,839 | |
-1 | 54,839 |
If you did it right, you will end up with this table:
1 | 29 | 31 | 61 | 899 | 1,769 | 1,891 | 54,839 |
-1 | -29 | -31 | -61 | -899 | -1,769 | -1,891 | -54,839 |
Here are some more numbers to try:
Try the factor calculator