Q: What are the factor combinations of the number 550,769?
A:
Positive:
1 x 55076961 x 9029
Negative:
-1 x -550769-61 x -9029
A:
Positive:
1 x 55076961 x 9029
Negative:
-1 x -550769-61 x -9029
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 550,769, 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 | 550,769 | |
-1 | -550,769 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 550,769.
Example:
1 x 550,769 = 550,769
and
-1 x -550,769 = 550,769
Notice both answers equal 550,769
With that explanation out of the way, let's continue. Next, we take the number 550,769 and divide it by 2:
550,769 ÷ 2 = 275,384.5
If the quotient is a whole number, then 2 and 275,384.5 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 | 550,769 | |
-1 | -550,769 |
Now, we try dividing 550,769 by 3:
550,769 ÷ 3 = 183,589.6667
If the quotient is a whole number, then 3 and 183,589.6667 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 | 550,769 | |
-1 | -550,769 |
Let's try dividing by 4:
550,769 ÷ 4 = 137,692.25
If the quotient is a whole number, then 4 and 137,692.25 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 | 550,769 | |
-1 | 550,769 |
If you did it right, you will end up with this table:
1 | 61 | 9,029 | 550,769 |
-1 | -61 | -9,029 | -550,769 |
Here are some more numbers to try:
Try the factor calculator