Q: What are the factor combinations of the number 82,315?
A:
Positive:
1 x 823155 x 16463101 x 815163 x 505
Negative:
-1 x -82315-5 x -16463-101 x -815-163 x -505
A:
Positive:
1 x 823155 x 16463101 x 815163 x 505
Negative:
-1 x -82315-5 x -16463-101 x -815-163 x -505
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 82,315, 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 | 82,315 | |
-1 | -82,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,315.
Example:
1 x 82,315 = 82,315
and
-1 x -82,315 = 82,315
Notice both answers equal 82,315
With that explanation out of the way, let's continue. Next, we take the number 82,315 and divide it by 2:
82,315 ÷ 2 = 41,157.5
If the quotient is a whole number, then 2 and 41,157.5 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 | 82,315 | |
-1 | -82,315 |
Now, we try dividing 82,315 by 3:
82,315 ÷ 3 = 27,438.3333
If the quotient is a whole number, then 3 and 27,438.3333 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 | 82,315 | |
-1 | -82,315 |
Let's try dividing by 4:
82,315 ÷ 4 = 20,578.75
If the quotient is a whole number, then 4 and 20,578.75 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 | 82,315 | |
-1 | 82,315 |
If you did it right, you will end up with this table:
1 | 5 | 101 | 163 | 505 | 815 | 16,463 | 82,315 |
-1 | -5 | -101 | -163 | -505 | -815 | -16,463 | -82,315 |
Here are some more numbers to try:
Try the factor calculator