Q: What are the factor combinations of the number 17,819?
A:
Positive:
1 x 17819103 x 173
Negative:
-1 x -17819-103 x -173
A:
Positive:
1 x 17819103 x 173
Negative:
-1 x -17819-103 x -173
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 17,819, 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 | 17,819 | |
-1 | -17,819 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,819.
Example:
1 x 17,819 = 17,819
and
-1 x -17,819 = 17,819
Notice both answers equal 17,819
With that explanation out of the way, let's continue. Next, we take the number 17,819 and divide it by 2:
17,819 ÷ 2 = 8,909.5
If the quotient is a whole number, then 2 and 8,909.5 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 | 17,819 | |
-1 | -17,819 |
Now, we try dividing 17,819 by 3:
17,819 ÷ 3 = 5,939.6667
If the quotient is a whole number, then 3 and 5,939.6667 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 | 17,819 | |
-1 | -17,819 |
Let's try dividing by 4:
17,819 ÷ 4 = 4,454.75
If the quotient is a whole number, then 4 and 4,454.75 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 | 17,819 | |
-1 | 17,819 |
If you did it right, you will end up with this table:
1 | 103 | 173 | 17,819 |
-1 | -103 | -173 | -17,819 |
Here are some more numbers to try:
Try the factor calculator