Q: What are the factor combinations of the number 17,459?
A:
Positive:
1 x 1745913 x 134317 x 102779 x 221
Negative:
-1 x -17459-13 x -1343-17 x -1027-79 x -221
A:
Positive:
1 x 1745913 x 134317 x 102779 x 221
Negative:
-1 x -17459-13 x -1343-17 x -1027-79 x -221
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 17,459, 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 | 17,459 | |
-1 | -17,459 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,459.
Example:
1 x 17,459 = 17,459
and
-1 x -17,459 = 17,459
Notice both answers equal 17,459
With that explanation out of the way, let's continue. Next, we take the number 17,459 and divide it by 2:
17,459 ÷ 2 = 8,729.5
If the quotient is a whole number, then 2 and 8,729.5 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 | 17,459 | |
-1 | -17,459 |
Now, we try dividing 17,459 by 3:
17,459 ÷ 3 = 5,819.6667
If the quotient is a whole number, then 3 and 5,819.6667 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 | 17,459 | |
-1 | -17,459 |
Let's try dividing by 4:
17,459 ÷ 4 = 4,364.75
If the quotient is a whole number, then 4 and 4,364.75 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 | 17,459 | |
-1 | 17,459 |
If you did it right, you will end up with this table:
1 | 13 | 17 | 79 | 221 | 1,027 | 1,343 | 17,459 |
-1 | -13 | -17 | -79 | -221 | -1,027 | -1,343 | -17,459 |
Here are some more numbers to try:
Try the factor calculator