Q: What are the factor combinations of the number 9,635?
A:
Positive:
1 x 96355 x 192741 x 23547 x 205
Negative:
-1 x -9635-5 x -1927-41 x -235-47 x -205
A:
Positive:
1 x 96355 x 192741 x 23547 x 205
Negative:
-1 x -9635-5 x -1927-41 x -235-47 x -205
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 9,635, 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 | 9,635 | |
-1 | -9,635 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 9,635.
Example:
1 x 9,635 = 9,635
and
-1 x -9,635 = 9,635
Notice both answers equal 9,635
With that explanation out of the way, let's continue. Next, we take the number 9,635 and divide it by 2:
9,635 ÷ 2 = 4,817.5
If the quotient is a whole number, then 2 and 4,817.5 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 | 9,635 | |
-1 | -9,635 |
Now, we try dividing 9,635 by 3:
9,635 ÷ 3 = 3,211.6667
If the quotient is a whole number, then 3 and 3,211.6667 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 | 9,635 | |
-1 | -9,635 |
Let's try dividing by 4:
9,635 ÷ 4 = 2,408.75
If the quotient is a whole number, then 4 and 2,408.75 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 | 9,635 | |
-1 | 9,635 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 47 | 205 | 235 | 1,927 | 9,635 |
-1 | -5 | -41 | -47 | -205 | -235 | -1,927 | -9,635 |
Here are some more numbers to try:
Try the factor calculator