Q: What are the factor combinations of the number 382,079?
A:
Positive:
1 x 38207941 x 9319
Negative:
-1 x -382079-41 x -9319
A:
Positive:
1 x 38207941 x 9319
Negative:
-1 x -382079-41 x -9319
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 382,079, 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 | 382,079 | |
-1 | -382,079 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 382,079.
Example:
1 x 382,079 = 382,079
and
-1 x -382,079 = 382,079
Notice both answers equal 382,079
With that explanation out of the way, let's continue. Next, we take the number 382,079 and divide it by 2:
382,079 ÷ 2 = 191,039.5
If the quotient is a whole number, then 2 and 191,039.5 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 | 382,079 | |
-1 | -382,079 |
Now, we try dividing 382,079 by 3:
382,079 ÷ 3 = 127,359.6667
If the quotient is a whole number, then 3 and 127,359.6667 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 | 382,079 | |
-1 | -382,079 |
Let's try dividing by 4:
382,079 ÷ 4 = 95,519.75
If the quotient is a whole number, then 4 and 95,519.75 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 | 382,079 | |
-1 | 382,079 |
If you did it right, you will end up with this table:
1 | 41 | 9,319 | 382,079 |
-1 | -41 | -9,319 | -382,079 |
Here are some more numbers to try:
Try the factor calculator