Q: What are the factor combinations of the number 582,289?
A:
Positive:
1 x 582289113 x 5153
Negative:
-1 x -582289-113 x -5153
A:
Positive:
1 x 582289113 x 5153
Negative:
-1 x -582289-113 x -5153
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 582,289, 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 | 582,289 | |
-1 | -582,289 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 582,289.
Example:
1 x 582,289 = 582,289
and
-1 x -582,289 = 582,289
Notice both answers equal 582,289
With that explanation out of the way, let's continue. Next, we take the number 582,289 and divide it by 2:
582,289 ÷ 2 = 291,144.5
If the quotient is a whole number, then 2 and 291,144.5 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 | 582,289 | |
-1 | -582,289 |
Now, we try dividing 582,289 by 3:
582,289 ÷ 3 = 194,096.3333
If the quotient is a whole number, then 3 and 194,096.3333 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 | 582,289 | |
-1 | -582,289 |
Let's try dividing by 4:
582,289 ÷ 4 = 145,572.25
If the quotient is a whole number, then 4 and 145,572.25 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 | 582,289 | |
-1 | 582,289 |
If you did it right, you will end up with this table:
1 | 113 | 5,153 | 582,289 |
-1 | -113 | -5,153 | -582,289 |
Here are some more numbers to try:
Try the factor calculator