Q: What are the factor combinations of the number 39,355?
A:
Positive:
1 x 393555 x 787117 x 231585 x 463
Negative:
-1 x -39355-5 x -7871-17 x -2315-85 x -463
A:
Positive:
1 x 393555 x 787117 x 231585 x 463
Negative:
-1 x -39355-5 x -7871-17 x -2315-85 x -463
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 39,355, 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 | 39,355 | |
-1 | -39,355 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 39,355.
Example:
1 x 39,355 = 39,355
and
-1 x -39,355 = 39,355
Notice both answers equal 39,355
With that explanation out of the way, let's continue. Next, we take the number 39,355 and divide it by 2:
39,355 ÷ 2 = 19,677.5
If the quotient is a whole number, then 2 and 19,677.5 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 | 39,355 | |
-1 | -39,355 |
Now, we try dividing 39,355 by 3:
39,355 ÷ 3 = 13,118.3333
If the quotient is a whole number, then 3 and 13,118.3333 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 | 39,355 | |
-1 | -39,355 |
Let's try dividing by 4:
39,355 ÷ 4 = 9,838.75
If the quotient is a whole number, then 4 and 9,838.75 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 | 39,355 | |
-1 | 39,355 |
If you did it right, you will end up with this table:
1 | 5 | 17 | 85 | 463 | 2,315 | 7,871 | 39,355 |
-1 | -5 | -17 | -85 | -463 | -2,315 | -7,871 | -39,355 |
Here are some more numbers to try:
Try the factor calculator