Q: What are the factor combinations of the number 826,655?
A:
Positive:
1 x 8266555 x 165331
Negative:
-1 x -826655-5 x -165331
A:
Positive:
1 x 8266555 x 165331
Negative:
-1 x -826655-5 x -165331
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 826,655, 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 | 826,655 | |
-1 | -826,655 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 826,655.
Example:
1 x 826,655 = 826,655
and
-1 x -826,655 = 826,655
Notice both answers equal 826,655
With that explanation out of the way, let's continue. Next, we take the number 826,655 and divide it by 2:
826,655 ÷ 2 = 413,327.5
If the quotient is a whole number, then 2 and 413,327.5 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 | 826,655 | |
-1 | -826,655 |
Now, we try dividing 826,655 by 3:
826,655 ÷ 3 = 275,551.6667
If the quotient is a whole number, then 3 and 275,551.6667 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 | 826,655 | |
-1 | -826,655 |
Let's try dividing by 4:
826,655 ÷ 4 = 206,663.75
If the quotient is a whole number, then 4 and 206,663.75 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 | 826,655 | |
-1 | 826,655 |
If you did it right, you will end up with this table:
1 | 5 | 165,331 | 826,655 |
-1 | -5 | -165,331 | -826,655 |
Here are some more numbers to try:
Try the factor calculator