Q: What are the factor combinations of the number 19,133?
A:
Positive:
1 x 1913319 x 100753 x 361
Negative:
-1 x -19133-19 x -1007-53 x -361
A:
Positive:
1 x 1913319 x 100753 x 361
Negative:
-1 x -19133-19 x -1007-53 x -361
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 19,133, 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 | 19,133 | |
-1 | -19,133 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 19,133.
Example:
1 x 19,133 = 19,133
and
-1 x -19,133 = 19,133
Notice both answers equal 19,133
With that explanation out of the way, let's continue. Next, we take the number 19,133 and divide it by 2:
19,133 ÷ 2 = 9,566.5
If the quotient is a whole number, then 2 and 9,566.5 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 | 19,133 | |
-1 | -19,133 |
Now, we try dividing 19,133 by 3:
19,133 ÷ 3 = 6,377.6667
If the quotient is a whole number, then 3 and 6,377.6667 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 | 19,133 | |
-1 | -19,133 |
Let's try dividing by 4:
19,133 ÷ 4 = 4,783.25
If the quotient is a whole number, then 4 and 4,783.25 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 | 19,133 | |
-1 | 19,133 |
If you did it right, you will end up with this table:
1 | 19 | 53 | 361 | 1,007 | 19,133 |
-1 | -19 | -53 | -361 | -1,007 | -19,133 |
Here are some more numbers to try:
Try the factor calculator