Q: What are the factor combinations of the number 584,989?
A:
Positive:
1 x 584989503 x 1163
Negative:
-1 x -584989-503 x -1163
A:
Positive:
1 x 584989503 x 1163
Negative:
-1 x -584989-503 x -1163
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 584,989, 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 | 584,989 | |
-1 | -584,989 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 584,989.
Example:
1 x 584,989 = 584,989
and
-1 x -584,989 = 584,989
Notice both answers equal 584,989
With that explanation out of the way, let's continue. Next, we take the number 584,989 and divide it by 2:
584,989 ÷ 2 = 292,494.5
If the quotient is a whole number, then 2 and 292,494.5 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 | 584,989 | |
-1 | -584,989 |
Now, we try dividing 584,989 by 3:
584,989 ÷ 3 = 194,996.3333
If the quotient is a whole number, then 3 and 194,996.3333 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 | 584,989 | |
-1 | -584,989 |
Let's try dividing by 4:
584,989 ÷ 4 = 146,247.25
If the quotient is a whole number, then 4 and 146,247.25 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 | 584,989 | |
-1 | 584,989 |
If you did it right, you will end up with this table:
1 | 503 | 1,163 | 584,989 |
-1 | -503 | -1,163 | -584,989 |
Here are some more numbers to try:
Try the factor calculator