Q: What are the factor combinations of the number 8,827?
A:
Positive:
1 x 88277 x 126113 x 67991 x 97
Negative:
-1 x -8827-7 x -1261-13 x -679-91 x -97
A:
Positive:
1 x 88277 x 126113 x 67991 x 97
Negative:
-1 x -8827-7 x -1261-13 x -679-91 x -97
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 8,827, 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 | 8,827 | |
-1 | -8,827 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 8,827.
Example:
1 x 8,827 = 8,827
and
-1 x -8,827 = 8,827
Notice both answers equal 8,827
With that explanation out of the way, let's continue. Next, we take the number 8,827 and divide it by 2:
8,827 ÷ 2 = 4,413.5
If the quotient is a whole number, then 2 and 4,413.5 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 | 8,827 | |
-1 | -8,827 |
Now, we try dividing 8,827 by 3:
8,827 ÷ 3 = 2,942.3333
If the quotient is a whole number, then 3 and 2,942.3333 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 | 8,827 | |
-1 | -8,827 |
Let's try dividing by 4:
8,827 ÷ 4 = 2,206.75
If the quotient is a whole number, then 4 and 2,206.75 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 | 8,827 | |
-1 | 8,827 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 97 | 679 | 1,261 | 8,827 |
-1 | -7 | -13 | -91 | -97 | -679 | -1,261 | -8,827 |
Here are some more numbers to try:
Try the factor calculator