Q: What are the factor combinations of the number 8,695?
A:
Positive:
1 x 86955 x 173937 x 23547 x 185
Negative:
-1 x -8695-5 x -1739-37 x -235-47 x -185
A:
Positive:
1 x 86955 x 173937 x 23547 x 185
Negative:
-1 x -8695-5 x -1739-37 x -235-47 x -185
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 8,695, 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 | 8,695 | |
-1 | -8,695 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 8,695.
Example:
1 x 8,695 = 8,695
and
-1 x -8,695 = 8,695
Notice both answers equal 8,695
With that explanation out of the way, let's continue. Next, we take the number 8,695 and divide it by 2:
8,695 ÷ 2 = 4,347.5
If the quotient is a whole number, then 2 and 4,347.5 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 | 8,695 | |
-1 | -8,695 |
Now, we try dividing 8,695 by 3:
8,695 ÷ 3 = 2,898.3333
If the quotient is a whole number, then 3 and 2,898.3333 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 | 8,695 | |
-1 | -8,695 |
Let's try dividing by 4:
8,695 ÷ 4 = 2,173.75
If the quotient is a whole number, then 4 and 2,173.75 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 | 8,695 | |
-1 | 8,695 |
If you did it right, you will end up with this table:
1 | 5 | 37 | 47 | 185 | 235 | 1,739 | 8,695 |
-1 | -5 | -37 | -47 | -185 | -235 | -1,739 | -8,695 |
Here are some more numbers to try:
Try the factor calculator