Q: What are the factor combinations of the number 548,549?
A:
Positive:
1 x 54854919 x 28871
Negative:
-1 x -548549-19 x -28871
A:
Positive:
1 x 54854919 x 28871
Negative:
-1 x -548549-19 x -28871
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 548,549, 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 | 548,549 | |
-1 | -548,549 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 548,549.
Example:
1 x 548,549 = 548,549
and
-1 x -548,549 = 548,549
Notice both answers equal 548,549
With that explanation out of the way, let's continue. Next, we take the number 548,549 and divide it by 2:
548,549 ÷ 2 = 274,274.5
If the quotient is a whole number, then 2 and 274,274.5 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 | 548,549 | |
-1 | -548,549 |
Now, we try dividing 548,549 by 3:
548,549 ÷ 3 = 182,849.6667
If the quotient is a whole number, then 3 and 182,849.6667 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 | 548,549 | |
-1 | -548,549 |
Let's try dividing by 4:
548,549 ÷ 4 = 137,137.25
If the quotient is a whole number, then 4 and 137,137.25 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 | 548,549 | |
-1 | 548,549 |
If you did it right, you will end up with this table:
1 | 19 | 28,871 | 548,549 |
-1 | -19 | -28,871 | -548,549 |
Here are some more numbers to try:
Try the factor calculator