Q: What are the factor combinations of the number 686,329?
A:
Positive:
1 x 6863297 x 98047
Negative:
-1 x -686329-7 x -98047
A:
Positive:
1 x 6863297 x 98047
Negative:
-1 x -686329-7 x -98047
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 686,329, 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 | 686,329 | |
-1 | -686,329 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 686,329.
Example:
1 x 686,329 = 686,329
and
-1 x -686,329 = 686,329
Notice both answers equal 686,329
With that explanation out of the way, let's continue. Next, we take the number 686,329 and divide it by 2:
686,329 ÷ 2 = 343,164.5
If the quotient is a whole number, then 2 and 343,164.5 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 | 686,329 | |
-1 | -686,329 |
Now, we try dividing 686,329 by 3:
686,329 ÷ 3 = 228,776.3333
If the quotient is a whole number, then 3 and 228,776.3333 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 | 686,329 | |
-1 | -686,329 |
Let's try dividing by 4:
686,329 ÷ 4 = 171,582.25
If the quotient is a whole number, then 4 and 171,582.25 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 | 686,329 | |
-1 | 686,329 |
If you did it right, you will end up with this table:
1 | 7 | 98,047 | 686,329 |
-1 | -7 | -98,047 | -686,329 |
Here are some more numbers to try:
Try the factor calculator