Q: What are the factor combinations of the number 805,697?
A:
Positive:
1 x 805697137 x 5881
Negative:
-1 x -805697-137 x -5881
A:
Positive:
1 x 805697137 x 5881
Negative:
-1 x -805697-137 x -5881
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 805,697, 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 | 805,697 | |
-1 | -805,697 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 805,697.
Example:
1 x 805,697 = 805,697
and
-1 x -805,697 = 805,697
Notice both answers equal 805,697
With that explanation out of the way, let's continue. Next, we take the number 805,697 and divide it by 2:
805,697 ÷ 2 = 402,848.5
If the quotient is a whole number, then 2 and 402,848.5 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 | 805,697 | |
-1 | -805,697 |
Now, we try dividing 805,697 by 3:
805,697 ÷ 3 = 268,565.6667
If the quotient is a whole number, then 3 and 268,565.6667 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 | 805,697 | |
-1 | -805,697 |
Let's try dividing by 4:
805,697 ÷ 4 = 201,424.25
If the quotient is a whole number, then 4 and 201,424.25 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 | 805,697 | |
-1 | 805,697 |
If you did it right, you will end up with this table:
1 | 137 | 5,881 | 805,697 |
-1 | -137 | -5,881 | -805,697 |
Here are some more numbers to try:
Try the factor calculator