Q: What are the factor combinations of the number 54,791?
A:
Positive:
1 x 5479111 x 498117 x 3223187 x 293
Negative:
-1 x -54791-11 x -4981-17 x -3223-187 x -293
A:
Positive:
1 x 5479111 x 498117 x 3223187 x 293
Negative:
-1 x -54791-11 x -4981-17 x -3223-187 x -293
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 54,791, 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 | 54,791 | |
-1 | -54,791 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 54,791.
Example:
1 x 54,791 = 54,791
and
-1 x -54,791 = 54,791
Notice both answers equal 54,791
With that explanation out of the way, let's continue. Next, we take the number 54,791 and divide it by 2:
54,791 ÷ 2 = 27,395.5
If the quotient is a whole number, then 2 and 27,395.5 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 | 54,791 | |
-1 | -54,791 |
Now, we try dividing 54,791 by 3:
54,791 ÷ 3 = 18,263.6667
If the quotient is a whole number, then 3 and 18,263.6667 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 | 54,791 | |
-1 | -54,791 |
Let's try dividing by 4:
54,791 ÷ 4 = 13,697.75
If the quotient is a whole number, then 4 and 13,697.75 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 | 54,791 | |
-1 | 54,791 |
If you did it right, you will end up with this table:
1 | 11 | 17 | 187 | 293 | 3,223 | 4,981 | 54,791 |
-1 | -11 | -17 | -187 | -293 | -3,223 | -4,981 | -54,791 |
Here are some more numbers to try:
Try the factor calculator