Q: What are the factor combinations of the number 584,243?
A:
Positive:
1 x 58424311 x 53113
Negative:
-1 x -584243-11 x -53113
A:
Positive:
1 x 58424311 x 53113
Negative:
-1 x -584243-11 x -53113
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 584,243, 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 | 584,243 | |
-1 | -584,243 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 584,243.
Example:
1 x 584,243 = 584,243
and
-1 x -584,243 = 584,243
Notice both answers equal 584,243
With that explanation out of the way, let's continue. Next, we take the number 584,243 and divide it by 2:
584,243 ÷ 2 = 292,121.5
If the quotient is a whole number, then 2 and 292,121.5 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 | 584,243 | |
-1 | -584,243 |
Now, we try dividing 584,243 by 3:
584,243 ÷ 3 = 194,747.6667
If the quotient is a whole number, then 3 and 194,747.6667 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 | 584,243 | |
-1 | -584,243 |
Let's try dividing by 4:
584,243 ÷ 4 = 146,060.75
If the quotient is a whole number, then 4 and 146,060.75 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 | 584,243 | |
-1 | 584,243 |
If you did it right, you will end up with this table:
1 | 11 | 53,113 | 584,243 |
-1 | -11 | -53,113 | -584,243 |
Here are some more numbers to try:
Try the factor calculator