Q: What are the factor combinations of the number 585,817?
A:
Positive:
1 x 585817479 x 1223
Negative:
-1 x -585817-479 x -1223
A:
Positive:
1 x 585817479 x 1223
Negative:
-1 x -585817-479 x -1223
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 585,817, 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 | 585,817 | |
-1 | -585,817 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 585,817.
Example:
1 x 585,817 = 585,817
and
-1 x -585,817 = 585,817
Notice both answers equal 585,817
With that explanation out of the way, let's continue. Next, we take the number 585,817 and divide it by 2:
585,817 ÷ 2 = 292,908.5
If the quotient is a whole number, then 2 and 292,908.5 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 | 585,817 | |
-1 | -585,817 |
Now, we try dividing 585,817 by 3:
585,817 ÷ 3 = 195,272.3333
If the quotient is a whole number, then 3 and 195,272.3333 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 | 585,817 | |
-1 | -585,817 |
Let's try dividing by 4:
585,817 ÷ 4 = 146,454.25
If the quotient is a whole number, then 4 and 146,454.25 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 | 585,817 | |
-1 | 585,817 |
If you did it right, you will end up with this table:
1 | 479 | 1,223 | 585,817 |
-1 | -479 | -1,223 | -585,817 |
Here are some more numbers to try:
Try the factor calculator