Q: What are the factor combinations of the number 622,739?
A:
Positive:
1 x 62273913 x 47903
Negative:
-1 x -622739-13 x -47903
A:
Positive:
1 x 62273913 x 47903
Negative:
-1 x -622739-13 x -47903
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 622,739, 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 | 622,739 | |
-1 | -622,739 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 622,739.
Example:
1 x 622,739 = 622,739
and
-1 x -622,739 = 622,739
Notice both answers equal 622,739
With that explanation out of the way, let's continue. Next, we take the number 622,739 and divide it by 2:
622,739 ÷ 2 = 311,369.5
If the quotient is a whole number, then 2 and 311,369.5 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 | 622,739 | |
-1 | -622,739 |
Now, we try dividing 622,739 by 3:
622,739 ÷ 3 = 207,579.6667
If the quotient is a whole number, then 3 and 207,579.6667 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 | 622,739 | |
-1 | -622,739 |
Let's try dividing by 4:
622,739 ÷ 4 = 155,684.75
If the quotient is a whole number, then 4 and 155,684.75 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 | 622,739 | |
-1 | 622,739 |
If you did it right, you will end up with this table:
1 | 13 | 47,903 | 622,739 |
-1 | -13 | -47,903 | -622,739 |
Here are some more numbers to try:
Try the factor calculator