Q: What are the factor combinations of the number 17,119?
A:
Positive:
1 x 1711917 x 100719 x 90153 x 323
Negative:
-1 x -17119-17 x -1007-19 x -901-53 x -323
A:
Positive:
1 x 1711917 x 100719 x 90153 x 323
Negative:
-1 x -17119-17 x -1007-19 x -901-53 x -323
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 17,119, 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 | 17,119 | |
-1 | -17,119 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,119.
Example:
1 x 17,119 = 17,119
and
-1 x -17,119 = 17,119
Notice both answers equal 17,119
With that explanation out of the way, let's continue. Next, we take the number 17,119 and divide it by 2:
17,119 ÷ 2 = 8,559.5
If the quotient is a whole number, then 2 and 8,559.5 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 | 17,119 | |
-1 | -17,119 |
Now, we try dividing 17,119 by 3:
17,119 ÷ 3 = 5,706.3333
If the quotient is a whole number, then 3 and 5,706.3333 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 | 17,119 | |
-1 | -17,119 |
Let's try dividing by 4:
17,119 ÷ 4 = 4,279.75
If the quotient is a whole number, then 4 and 4,279.75 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 | 17,119 | |
-1 | 17,119 |
If you did it right, you will end up with this table:
1 | 17 | 19 | 53 | 323 | 901 | 1,007 | 17,119 |
-1 | -17 | -19 | -53 | -323 | -901 | -1,007 | -17,119 |
Here are some more numbers to try:
Try the factor calculator