Q: What are the factor combinations of the number 33,463?
A:
Positive:
1 x 33463109 x 307
Negative:
-1 x -33463-109 x -307
A:
Positive:
1 x 33463109 x 307
Negative:
-1 x -33463-109 x -307
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 33,463, 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 | 33,463 | |
-1 | -33,463 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,463.
Example:
1 x 33,463 = 33,463
and
-1 x -33,463 = 33,463
Notice both answers equal 33,463
With that explanation out of the way, let's continue. Next, we take the number 33,463 and divide it by 2:
33,463 ÷ 2 = 16,731.5
If the quotient is a whole number, then 2 and 16,731.5 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 | 33,463 | |
-1 | -33,463 |
Now, we try dividing 33,463 by 3:
33,463 ÷ 3 = 11,154.3333
If the quotient is a whole number, then 3 and 11,154.3333 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 | 33,463 | |
-1 | -33,463 |
Let's try dividing by 4:
33,463 ÷ 4 = 8,365.75
If the quotient is a whole number, then 4 and 8,365.75 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 | 33,463 | |
-1 | 33,463 |
If you did it right, you will end up with this table:
1 | 109 | 307 | 33,463 |
-1 | -109 | -307 | -33,463 |
Here are some more numbers to try:
Try the factor calculator