Q: What are the factor combinations of the number 36,533?
A:
Positive:
1 x 365337 x 521917 x 2149119 x 307
Negative:
-1 x -36533-7 x -5219-17 x -2149-119 x -307
A:
Positive:
1 x 365337 x 521917 x 2149119 x 307
Negative:
-1 x -36533-7 x -5219-17 x -2149-119 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 36,533, 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 | 36,533 | |
-1 | -36,533 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,533.
Example:
1 x 36,533 = 36,533
and
-1 x -36,533 = 36,533
Notice both answers equal 36,533
With that explanation out of the way, let's continue. Next, we take the number 36,533 and divide it by 2:
36,533 ÷ 2 = 18,266.5
If the quotient is a whole number, then 2 and 18,266.5 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 | 36,533 | |
-1 | -36,533 |
Now, we try dividing 36,533 by 3:
36,533 ÷ 3 = 12,177.6667
If the quotient is a whole number, then 3 and 12,177.6667 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 | 36,533 | |
-1 | -36,533 |
Let's try dividing by 4:
36,533 ÷ 4 = 9,133.25
If the quotient is a whole number, then 4 and 9,133.25 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 | 36,533 | |
-1 | 36,533 |
If you did it right, you will end up with this table:
1 | 7 | 17 | 119 | 307 | 2,149 | 5,219 | 36,533 |
-1 | -7 | -17 | -119 | -307 | -2,149 | -5,219 | -36,533 |
Here are some more numbers to try:
Try the factor calculator