Q: What are the factor combinations of the number 582,325?
A:
Positive:
1 x 5823255 x 11646525 x 23293
Negative:
-1 x -582325-5 x -116465-25 x -23293
A:
Positive:
1 x 5823255 x 11646525 x 23293
Negative:
-1 x -582325-5 x -116465-25 x -23293
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 582,325, 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 | 582,325 | |
-1 | -582,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 582,325.
Example:
1 x 582,325 = 582,325
and
-1 x -582,325 = 582,325
Notice both answers equal 582,325
With that explanation out of the way, let's continue. Next, we take the number 582,325 and divide it by 2:
582,325 ÷ 2 = 291,162.5
If the quotient is a whole number, then 2 and 291,162.5 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 | 582,325 | |
-1 | -582,325 |
Now, we try dividing 582,325 by 3:
582,325 ÷ 3 = 194,108.3333
If the quotient is a whole number, then 3 and 194,108.3333 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 | 582,325 | |
-1 | -582,325 |
Let's try dividing by 4:
582,325 ÷ 4 = 145,581.25
If the quotient is a whole number, then 4 and 145,581.25 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 | 582,325 | |
-1 | 582,325 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 23,293 | 116,465 | 582,325 |
-1 | -5 | -25 | -23,293 | -116,465 | -582,325 |
Here are some more numbers to try:
Try the factor calculator