Q: What are the factor combinations of the number 888,821?
A:
Positive:
1 x 88882129 x 30649
Negative:
-1 x -888821-29 x -30649
A:
Positive:
1 x 88882129 x 30649
Negative:
-1 x -888821-29 x -30649
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 888,821, 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 | 888,821 | |
-1 | -888,821 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 888,821.
Example:
1 x 888,821 = 888,821
and
-1 x -888,821 = 888,821
Notice both answers equal 888,821
With that explanation out of the way, let's continue. Next, we take the number 888,821 and divide it by 2:
888,821 ÷ 2 = 444,410.5
If the quotient is a whole number, then 2 and 444,410.5 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 | 888,821 | |
-1 | -888,821 |
Now, we try dividing 888,821 by 3:
888,821 ÷ 3 = 296,273.6667
If the quotient is a whole number, then 3 and 296,273.6667 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 | 888,821 | |
-1 | -888,821 |
Let's try dividing by 4:
888,821 ÷ 4 = 222,205.25
If the quotient is a whole number, then 4 and 222,205.25 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 | 888,821 | |
-1 | 888,821 |
If you did it right, you will end up with this table:
1 | 29 | 30,649 | 888,821 |
-1 | -29 | -30,649 | -888,821 |
Here are some more numbers to try:
Try the factor calculator