Q: What are the factor combinations of the number 14,819?
A:
Positive:
1 x 148197 x 211729 x 51173 x 203
Negative:
-1 x -14819-7 x -2117-29 x -511-73 x -203
A:
Positive:
1 x 148197 x 211729 x 51173 x 203
Negative:
-1 x -14819-7 x -2117-29 x -511-73 x -203
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 14,819, 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 | 14,819 | |
-1 | -14,819 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 14,819.
Example:
1 x 14,819 = 14,819
and
-1 x -14,819 = 14,819
Notice both answers equal 14,819
With that explanation out of the way, let's continue. Next, we take the number 14,819 and divide it by 2:
14,819 ÷ 2 = 7,409.5
If the quotient is a whole number, then 2 and 7,409.5 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 | 14,819 | |
-1 | -14,819 |
Now, we try dividing 14,819 by 3:
14,819 ÷ 3 = 4,939.6667
If the quotient is a whole number, then 3 and 4,939.6667 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 | 14,819 | |
-1 | -14,819 |
Let's try dividing by 4:
14,819 ÷ 4 = 3,704.75
If the quotient is a whole number, then 4 and 3,704.75 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 | 14,819 | |
-1 | 14,819 |
If you did it right, you will end up with this table:
1 | 7 | 29 | 73 | 203 | 511 | 2,117 | 14,819 |
-1 | -7 | -29 | -73 | -203 | -511 | -2,117 | -14,819 |
Here are some more numbers to try:
Try the factor calculator