Q: What are the factor combinations of the number 364,081?
A:
Positive:
1 x 36408143 x 8467
Negative:
-1 x -364081-43 x -8467
A:
Positive:
1 x 36408143 x 8467
Negative:
-1 x -364081-43 x -8467
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 364,081, 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 | 364,081 | |
-1 | -364,081 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 364,081.
Example:
1 x 364,081 = 364,081
and
-1 x -364,081 = 364,081
Notice both answers equal 364,081
With that explanation out of the way, let's continue. Next, we take the number 364,081 and divide it by 2:
364,081 ÷ 2 = 182,040.5
If the quotient is a whole number, then 2 and 182,040.5 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 | 364,081 | |
-1 | -364,081 |
Now, we try dividing 364,081 by 3:
364,081 ÷ 3 = 121,360.3333
If the quotient is a whole number, then 3 and 121,360.3333 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 | 364,081 | |
-1 | -364,081 |
Let's try dividing by 4:
364,081 ÷ 4 = 91,020.25
If the quotient is a whole number, then 4 and 91,020.25 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 | 364,081 | |
-1 | 364,081 |
If you did it right, you will end up with this table:
1 | 43 | 8,467 | 364,081 |
-1 | -43 | -8,467 | -364,081 |
Here are some more numbers to try:
Try the factor calculator