Q: What are the factor combinations of the number 54,875?
A:
Positive:
1 x 548755 x 1097525 x 2195125 x 439
Negative:
-1 x -54875-5 x -10975-25 x -2195-125 x -439
A:
Positive:
1 x 548755 x 1097525 x 2195125 x 439
Negative:
-1 x -54875-5 x -10975-25 x -2195-125 x -439
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 54,875, 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 | 54,875 | |
-1 | -54,875 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 54,875.
Example:
1 x 54,875 = 54,875
and
-1 x -54,875 = 54,875
Notice both answers equal 54,875
With that explanation out of the way, let's continue. Next, we take the number 54,875 and divide it by 2:
54,875 ÷ 2 = 27,437.5
If the quotient is a whole number, then 2 and 27,437.5 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 | 54,875 | |
-1 | -54,875 |
Now, we try dividing 54,875 by 3:
54,875 ÷ 3 = 18,291.6667
If the quotient is a whole number, then 3 and 18,291.6667 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 | 54,875 | |
-1 | -54,875 |
Let's try dividing by 4:
54,875 ÷ 4 = 13,718.75
If the quotient is a whole number, then 4 and 13,718.75 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 | 54,875 | |
-1 | 54,875 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 439 | 2,195 | 10,975 | 54,875 |
-1 | -5 | -25 | -125 | -439 | -2,195 | -10,975 | -54,875 |
Here are some more numbers to try:
Try the factor calculator