Q: What are the factor combinations of the number 33,733?
A:
Positive:
1 x 337337 x 481961 x 55379 x 427
Negative:
-1 x -33733-7 x -4819-61 x -553-79 x -427
A:
Positive:
1 x 337337 x 481961 x 55379 x 427
Negative:
-1 x -33733-7 x -4819-61 x -553-79 x -427
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 33,733, 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 | 33,733 | |
-1 | -33,733 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,733.
Example:
1 x 33,733 = 33,733
and
-1 x -33,733 = 33,733
Notice both answers equal 33,733
With that explanation out of the way, let's continue. Next, we take the number 33,733 and divide it by 2:
33,733 ÷ 2 = 16,866.5
If the quotient is a whole number, then 2 and 16,866.5 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 | 33,733 | |
-1 | -33,733 |
Now, we try dividing 33,733 by 3:
33,733 ÷ 3 = 11,244.3333
If the quotient is a whole number, then 3 and 11,244.3333 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 | 33,733 | |
-1 | -33,733 |
Let's try dividing by 4:
33,733 ÷ 4 = 8,433.25
If the quotient is a whole number, then 4 and 8,433.25 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 | 33,733 | |
-1 | 33,733 |
If you did it right, you will end up with this table:
1 | 7 | 61 | 79 | 427 | 553 | 4,819 | 33,733 |
-1 | -7 | -61 | -79 | -427 | -553 | -4,819 | -33,733 |
Here are some more numbers to try:
Try the factor calculator