Q: What are the factor combinations of the number 16,219?
A:
Positive:
1 x 162197 x 231749 x 331
Negative:
-1 x -16219-7 x -2317-49 x -331
A:
Positive:
1 x 162197 x 231749 x 331
Negative:
-1 x -16219-7 x -2317-49 x -331
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 16,219, 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 | 16,219 | |
-1 | -16,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 16,219.
Example:
1 x 16,219 = 16,219
and
-1 x -16,219 = 16,219
Notice both answers equal 16,219
With that explanation out of the way, let's continue. Next, we take the number 16,219 and divide it by 2:
16,219 ÷ 2 = 8,109.5
If the quotient is a whole number, then 2 and 8,109.5 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 | 16,219 | |
-1 | -16,219 |
Now, we try dividing 16,219 by 3:
16,219 ÷ 3 = 5,406.3333
If the quotient is a whole number, then 3 and 5,406.3333 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 | 16,219 | |
-1 | -16,219 |
Let's try dividing by 4:
16,219 ÷ 4 = 4,054.75
If the quotient is a whole number, then 4 and 4,054.75 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 | 16,219 | |
-1 | 16,219 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 331 | 2,317 | 16,219 |
-1 | -7 | -49 | -331 | -2,317 | -16,219 |
Here are some more numbers to try:
Try the factor calculator