Q: What are the factor combinations of the number 683,213?
A:
Positive:
1 x 68321317 x 40189
Negative:
-1 x -683213-17 x -40189
A:
Positive:
1 x 68321317 x 40189
Negative:
-1 x -683213-17 x -40189
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 683,213, 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 | 683,213 | |
-1 | -683,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 683,213.
Example:
1 x 683,213 = 683,213
and
-1 x -683,213 = 683,213
Notice both answers equal 683,213
With that explanation out of the way, let's continue. Next, we take the number 683,213 and divide it by 2:
683,213 ÷ 2 = 341,606.5
If the quotient is a whole number, then 2 and 341,606.5 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 | 683,213 | |
-1 | -683,213 |
Now, we try dividing 683,213 by 3:
683,213 ÷ 3 = 227,737.6667
If the quotient is a whole number, then 3 and 227,737.6667 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 | 683,213 | |
-1 | -683,213 |
Let's try dividing by 4:
683,213 ÷ 4 = 170,803.25
If the quotient is a whole number, then 4 and 170,803.25 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 | 683,213 | |
-1 | 683,213 |
If you did it right, you will end up with this table:
1 | 17 | 40,189 | 683,213 |
-1 | -17 | -40,189 | -683,213 |
Here are some more numbers to try:
Try the factor calculator