Q: What are the factor combinations of the number 33,943?
A:
Positive:
1 x 339437 x 484913 x 261191 x 373
Negative:
-1 x -33943-7 x -4849-13 x -2611-91 x -373
A:
Positive:
1 x 339437 x 484913 x 261191 x 373
Negative:
-1 x -33943-7 x -4849-13 x -2611-91 x -373
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 33,943, 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 | 33,943 | |
-1 | -33,943 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,943.
Example:
1 x 33,943 = 33,943
and
-1 x -33,943 = 33,943
Notice both answers equal 33,943
With that explanation out of the way, let's continue. Next, we take the number 33,943 and divide it by 2:
33,943 ÷ 2 = 16,971.5
If the quotient is a whole number, then 2 and 16,971.5 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 | 33,943 | |
-1 | -33,943 |
Now, we try dividing 33,943 by 3:
33,943 ÷ 3 = 11,314.3333
If the quotient is a whole number, then 3 and 11,314.3333 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 | 33,943 | |
-1 | -33,943 |
Let's try dividing by 4:
33,943 ÷ 4 = 8,485.75
If the quotient is a whole number, then 4 and 8,485.75 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 | 33,943 | |
-1 | 33,943 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 373 | 2,611 | 4,849 | 33,943 |
-1 | -7 | -13 | -91 | -373 | -2,611 | -4,849 | -33,943 |
Here are some more numbers to try:
Try the factor calculator