A:
Positive:
1 x 77355 x 15477 x 110513 x 59517 x 45535 x 22165 x 11985 x 91
Negative:
-1 x -7735-5 x -1547-7 x -1105-13 x -595-17 x -455-35 x -221-65 x -119-85 x -91
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 7,735, 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 | 7,735 | |
| -1 | -7,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,735.
Example:
1 x 7,735 = 7,735
and
-1 x -7,735 = 7,735
Notice both answers equal 7,735
With that explanation out of the way, let's continue. Next, we take the number 7,735 and divide it by 2:
7,735 ÷ 2 = 3,867.5
If the quotient is a whole number, then 2 and 3,867.5 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 | 7,735 | |
| -1 | -7,735 |
Now, we try dividing 7,735 by 3:
7,735 ÷ 3 = 2,578.3333
If the quotient is a whole number, then 3 and 2,578.3333 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 | 7,735 | |
| -1 | -7,735 |
Let's try dividing by 4:
7,735 ÷ 4 = 1,933.75
If the quotient is a whole number, then 4 and 1,933.75 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 | 7,735 | |
| -1 | 7,735 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 17 | 35 | 65 | 85 | 91 | 119 | 221 | 455 | 595 | 1,105 | 1,547 | 7,735 |
| -1 | -5 | -7 | -13 | -17 | -35 | -65 | -85 | -91 | -119 | -221 | -455 | -595 | -1,105 | -1,547 | -7,735 |
Here are some more numbers to try:
Try the factor calculator