Q: What are the factor combinations of the number 17,008,535?
A:
Positive:
1 x 170085355 x 3401707
Negative:
-1 x -17008535-5 x -3401707
A:
Positive:
1 x 170085355 x 3401707
Negative:
-1 x -17008535-5 x -3401707
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 17,008,535, 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 | 17,008,535 | |
-1 | -17,008,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,008,535.
Example:
1 x 17,008,535 = 17,008,535
and
-1 x -17,008,535 = 17,008,535
Notice both answers equal 17,008,535
With that explanation out of the way, let's continue. Next, we take the number 17,008,535 and divide it by 2:
17,008,535 ÷ 2 = 8,504,267.5
If the quotient is a whole number, then 2 and 8,504,267.5 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 | 17,008,535 | |
-1 | -17,008,535 |
Now, we try dividing 17,008,535 by 3:
17,008,535 ÷ 3 = 5,669,511.6667
If the quotient is a whole number, then 3 and 5,669,511.6667 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 | 17,008,535 | |
-1 | -17,008,535 |
Let's try dividing by 4:
17,008,535 ÷ 4 = 4,252,133.75
If the quotient is a whole number, then 4 and 4,252,133.75 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 | 17,008,535 | |
-1 | 17,008,535 |
If you did it right, you will end up with this table:
1 | 5 | 3,401,707 | 17,008,535 |
-1 | -5 | -3,401,707 | -17,008,535 |
Here are some more numbers to try:
Try the factor calculator