Q: What are the factor combinations of the number 30,595?
A:
Positive:
1 x 305955 x 611929 x 1055145 x 211
Negative:
-1 x -30595-5 x -6119-29 x -1055-145 x -211
A:
Positive:
1 x 305955 x 611929 x 1055145 x 211
Negative:
-1 x -30595-5 x -6119-29 x -1055-145 x -211
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 30,595, 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 | 30,595 | |
-1 | -30,595 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,595.
Example:
1 x 30,595 = 30,595
and
-1 x -30,595 = 30,595
Notice both answers equal 30,595
With that explanation out of the way, let's continue. Next, we take the number 30,595 and divide it by 2:
30,595 ÷ 2 = 15,297.5
If the quotient is a whole number, then 2 and 15,297.5 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 | 30,595 | |
-1 | -30,595 |
Now, we try dividing 30,595 by 3:
30,595 ÷ 3 = 10,198.3333
If the quotient is a whole number, then 3 and 10,198.3333 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 | 30,595 | |
-1 | -30,595 |
Let's try dividing by 4:
30,595 ÷ 4 = 7,648.75
If the quotient is a whole number, then 4 and 7,648.75 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 | 30,595 | |
-1 | 30,595 |
If you did it right, you will end up with this table:
1 | 5 | 29 | 145 | 211 | 1,055 | 6,119 | 30,595 |
-1 | -5 | -29 | -145 | -211 | -1,055 | -6,119 | -30,595 |
Here are some more numbers to try:
Try the factor calculator