Q: What are the factor combinations of the number 396,619?
A:
Positive:
1 x 396619
Negative:
-1 x -396619
A:
Positive:
1 x 396619
Negative:
-1 x -396619
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 396,619, 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 | 396,619 | |
-1 | -396,619 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 396,619.
Example:
1 x 396,619 = 396,619
and
-1 x -396,619 = 396,619
Notice both answers equal 396,619
With that explanation out of the way, let's continue. Next, we take the number 396,619 and divide it by 2:
396,619 ÷ 2 = 198,309.5
If the quotient is a whole number, then 2 and 198,309.5 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 | 396,619 | |
-1 | -396,619 |
Now, we try dividing 396,619 by 3:
396,619 ÷ 3 = 132,206.3333
If the quotient is a whole number, then 3 and 132,206.3333 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 | 396,619 | |
-1 | -396,619 |
Let's try dividing by 4:
396,619 ÷ 4 = 99,154.75
If the quotient is a whole number, then 4 and 99,154.75 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 | 396,619 | |
-1 | 396,619 |
If you did it right, you will end up with this table:
1 | 396,619 |
-1 | -396,619 |
Here are some more numbers to try:
Try the factor calculator