Q: What are the factor combinations of the number 688,717?
A:
Positive:
1 x 688717
Negative:
-1 x -688717
A:
Positive:
1 x 688717
Negative:
-1 x -688717
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 688,717, 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 | 688,717 | |
-1 | -688,717 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 688,717.
Example:
1 x 688,717 = 688,717
and
-1 x -688,717 = 688,717
Notice both answers equal 688,717
With that explanation out of the way, let's continue. Next, we take the number 688,717 and divide it by 2:
688,717 ÷ 2 = 344,358.5
If the quotient is a whole number, then 2 and 344,358.5 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 | 688,717 | |
-1 | -688,717 |
Now, we try dividing 688,717 by 3:
688,717 ÷ 3 = 229,572.3333
If the quotient is a whole number, then 3 and 229,572.3333 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 | 688,717 | |
-1 | -688,717 |
Let's try dividing by 4:
688,717 ÷ 4 = 172,179.25
If the quotient is a whole number, then 4 and 172,179.25 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 | 688,717 | |
-1 | 688,717 |
If you did it right, you will end up with this table:
1 | 688,717 |
-1 | -688,717 |
Here are some more numbers to try:
Try the factor calculator