Q: What are the factor combinations of the number 613,595?
A:
Positive:
1 x 6135955 x 122719
Negative:
-1 x -613595-5 x -122719
A:
Positive:
1 x 6135955 x 122719
Negative:
-1 x -613595-5 x -122719
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 613,595, 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 | 613,595 | |
-1 | -613,595 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 613,595.
Example:
1 x 613,595 = 613,595
and
-1 x -613,595 = 613,595
Notice both answers equal 613,595
With that explanation out of the way, let's continue. Next, we take the number 613,595 and divide it by 2:
613,595 ÷ 2 = 306,797.5
If the quotient is a whole number, then 2 and 306,797.5 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 | 613,595 | |
-1 | -613,595 |
Now, we try dividing 613,595 by 3:
613,595 ÷ 3 = 204,531.6667
If the quotient is a whole number, then 3 and 204,531.6667 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 | 613,595 | |
-1 | -613,595 |
Let's try dividing by 4:
613,595 ÷ 4 = 153,398.75
If the quotient is a whole number, then 4 and 153,398.75 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 | 613,595 | |
-1 | 613,595 |
If you did it right, you will end up with this table:
1 | 5 | 122,719 | 613,595 |
-1 | -5 | -122,719 | -613,595 |
Here are some more numbers to try:
Try the factor calculator