Q: What are the factor combinations of the number 17,003?
A:
Positive:
1 x 170037 x 242949 x 347
Negative:
-1 x -17003-7 x -2429-49 x -347
A:
Positive:
1 x 170037 x 242949 x 347
Negative:
-1 x -17003-7 x -2429-49 x -347
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 17,003, 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 | 17,003 | |
-1 | -17,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,003.
Example:
1 x 17,003 = 17,003
and
-1 x -17,003 = 17,003
Notice both answers equal 17,003
With that explanation out of the way, let's continue. Next, we take the number 17,003 and divide it by 2:
17,003 ÷ 2 = 8,501.5
If the quotient is a whole number, then 2 and 8,501.5 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 | 17,003 | |
-1 | -17,003 |
Now, we try dividing 17,003 by 3:
17,003 ÷ 3 = 5,667.6667
If the quotient is a whole number, then 3 and 5,667.6667 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 | 17,003 | |
-1 | -17,003 |
Let's try dividing by 4:
17,003 ÷ 4 = 4,250.75
If the quotient is a whole number, then 4 and 4,250.75 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 | 17,003 | |
-1 | 17,003 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 347 | 2,429 | 17,003 |
-1 | -7 | -49 | -347 | -2,429 | -17,003 |
Here are some more numbers to try:
Try the factor calculator