Q: What are the factor combinations of the number 19,817?
A:
Positive:
1 x 198177 x 283119 x 1043133 x 149
Negative:
-1 x -19817-7 x -2831-19 x -1043-133 x -149
A:
Positive:
1 x 198177 x 283119 x 1043133 x 149
Negative:
-1 x -19817-7 x -2831-19 x -1043-133 x -149
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 19,817, 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 | 19,817 | |
-1 | -19,817 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 19,817.
Example:
1 x 19,817 = 19,817
and
-1 x -19,817 = 19,817
Notice both answers equal 19,817
With that explanation out of the way, let's continue. Next, we take the number 19,817 and divide it by 2:
19,817 ÷ 2 = 9,908.5
If the quotient is a whole number, then 2 and 9,908.5 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 | 19,817 | |
-1 | -19,817 |
Now, we try dividing 19,817 by 3:
19,817 ÷ 3 = 6,605.6667
If the quotient is a whole number, then 3 and 6,605.6667 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 | 19,817 | |
-1 | -19,817 |
Let's try dividing by 4:
19,817 ÷ 4 = 4,954.25
If the quotient is a whole number, then 4 and 4,954.25 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 | 19,817 | |
-1 | 19,817 |
If you did it right, you will end up with this table:
1 | 7 | 19 | 133 | 149 | 1,043 | 2,831 | 19,817 |
-1 | -7 | -19 | -133 | -149 | -1,043 | -2,831 | -19,817 |
Here are some more numbers to try:
Try the factor calculator