Q: What are the factor combinations of the number 805?
A:
Positive:
1 x 8055 x 1617 x 11523 x 35
Negative:
-1 x -805-5 x -161-7 x -115-23 x -35
A:
Positive:
1 x 8055 x 1617 x 11523 x 35
Negative:
-1 x -805-5 x -161-7 x -115-23 x -35
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 805, 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 | 805 | |
-1 | -805 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 805.
Example:
1 x 805 = 805
and
-1 x -805 = 805
Notice both answers equal 805
With that explanation out of the way, let's continue. Next, we take the number 805 and divide it by 2:
805 ÷ 2 = 402.5
If the quotient is a whole number, then 2 and 402.5 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 | 805 | |
-1 | -805 |
Now, we try dividing 805 by 3:
805 ÷ 3 = 268.3333
If the quotient is a whole number, then 3 and 268.3333 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 | 805 | |
-1 | -805 |
Let's try dividing by 4:
805 ÷ 4 = 201.25
If the quotient is a whole number, then 4 and 201.25 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 | 805 | |
-1 | 805 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 23 | 35 | 115 | 161 | 805 |
-1 | -5 | -7 | -23 | -35 | -115 | -161 | -805 |
Here are some more numbers to try:
Try the factor calculator