Q: What are the factor combinations of the number 886,735?
A:
Positive:
1 x 8867355 x 177347
Negative:
-1 x -886735-5 x -177347
A:
Positive:
1 x 8867355 x 177347
Negative:
-1 x -886735-5 x -177347
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 886,735, 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 | 886,735 | |
-1 | -886,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 886,735.
Example:
1 x 886,735 = 886,735
and
-1 x -886,735 = 886,735
Notice both answers equal 886,735
With that explanation out of the way, let's continue. Next, we take the number 886,735 and divide it by 2:
886,735 ÷ 2 = 443,367.5
If the quotient is a whole number, then 2 and 443,367.5 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 | 886,735 | |
-1 | -886,735 |
Now, we try dividing 886,735 by 3:
886,735 ÷ 3 = 295,578.3333
If the quotient is a whole number, then 3 and 295,578.3333 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 | 886,735 | |
-1 | -886,735 |
Let's try dividing by 4:
886,735 ÷ 4 = 221,683.75
If the quotient is a whole number, then 4 and 221,683.75 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 | 886,735 | |
-1 | 886,735 |
If you did it right, you will end up with this table:
1 | 5 | 177,347 | 886,735 |
-1 | -5 | -177,347 | -886,735 |
Here are some more numbers to try:
Try the factor calculator