Q: What are the factor combinations of the number 54,571?
A:
Positive:
1 x 5457111 x 496141 x 1331121 x 451
Negative:
-1 x -54571-11 x -4961-41 x -1331-121 x -451
A:
Positive:
1 x 5457111 x 496141 x 1331121 x 451
Negative:
-1 x -54571-11 x -4961-41 x -1331-121 x -451
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 54,571, 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 | 54,571 | |
-1 | -54,571 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 54,571.
Example:
1 x 54,571 = 54,571
and
-1 x -54,571 = 54,571
Notice both answers equal 54,571
With that explanation out of the way, let's continue. Next, we take the number 54,571 and divide it by 2:
54,571 ÷ 2 = 27,285.5
If the quotient is a whole number, then 2 and 27,285.5 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 | 54,571 | |
-1 | -54,571 |
Now, we try dividing 54,571 by 3:
54,571 ÷ 3 = 18,190.3333
If the quotient is a whole number, then 3 and 18,190.3333 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 | 54,571 | |
-1 | -54,571 |
Let's try dividing by 4:
54,571 ÷ 4 = 13,642.75
If the quotient is a whole number, then 4 and 13,642.75 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 | 54,571 | |
-1 | 54,571 |
If you did it right, you will end up with this table:
1 | 11 | 41 | 121 | 451 | 1,331 | 4,961 | 54,571 |
-1 | -11 | -41 | -121 | -451 | -1,331 | -4,961 | -54,571 |
Here are some more numbers to try:
Try the factor calculator