Q: What are the factor combinations of the number 335,083?
A:
Positive:
1 x 3350837 x 47869
Negative:
-1 x -335083-7 x -47869
A:
Positive:
1 x 3350837 x 47869
Negative:
-1 x -335083-7 x -47869
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 335,083, 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 | 335,083 | |
-1 | -335,083 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 335,083.
Example:
1 x 335,083 = 335,083
and
-1 x -335,083 = 335,083
Notice both answers equal 335,083
With that explanation out of the way, let's continue. Next, we take the number 335,083 and divide it by 2:
335,083 ÷ 2 = 167,541.5
If the quotient is a whole number, then 2 and 167,541.5 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 | 335,083 | |
-1 | -335,083 |
Now, we try dividing 335,083 by 3:
335,083 ÷ 3 = 111,694.3333
If the quotient is a whole number, then 3 and 111,694.3333 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 | 335,083 | |
-1 | -335,083 |
Let's try dividing by 4:
335,083 ÷ 4 = 83,770.75
If the quotient is a whole number, then 4 and 83,770.75 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 | 335,083 | |
-1 | 335,083 |
If you did it right, you will end up with this table:
1 | 7 | 47,869 | 335,083 |
-1 | -7 | -47,869 | -335,083 |
Here are some more numbers to try:
Try the factor calculator