Q: What are the factor combinations of the number 3,655?
A:
Positive:
1 x 36555 x 73117 x 21543 x 85
Negative:
-1 x -3655-5 x -731-17 x -215-43 x -85
A:
Positive:
1 x 36555 x 73117 x 21543 x 85
Negative:
-1 x -3655-5 x -731-17 x -215-43 x -85
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 3,655, 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 | 3,655 | |
-1 | -3,655 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,655.
Example:
1 x 3,655 = 3,655
and
-1 x -3,655 = 3,655
Notice both answers equal 3,655
With that explanation out of the way, let's continue. Next, we take the number 3,655 and divide it by 2:
3,655 ÷ 2 = 1,827.5
If the quotient is a whole number, then 2 and 1,827.5 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 | 3,655 | |
-1 | -3,655 |
Now, we try dividing 3,655 by 3:
3,655 ÷ 3 = 1,218.3333
If the quotient is a whole number, then 3 and 1,218.3333 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 | 3,655 | |
-1 | -3,655 |
Let's try dividing by 4:
3,655 ÷ 4 = 913.75
If the quotient is a whole number, then 4 and 913.75 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 | 3,655 | |
-1 | 3,655 |
If you did it right, you will end up with this table:
1 | 5 | 17 | 43 | 85 | 215 | 731 | 3,655 |
-1 | -5 | -17 | -43 | -85 | -215 | -731 | -3,655 |
Here are some more numbers to try:
Try the factor calculator