Q: What are the factor combinations of the number 49,235?
A:
Positive:
1 x 492355 x 984743 x 1145215 x 229
Negative:
-1 x -49235-5 x -9847-43 x -1145-215 x -229
A:
Positive:
1 x 492355 x 984743 x 1145215 x 229
Negative:
-1 x -49235-5 x -9847-43 x -1145-215 x -229
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 49,235, 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 | 49,235 | |
-1 | -49,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 49,235.
Example:
1 x 49,235 = 49,235
and
-1 x -49,235 = 49,235
Notice both answers equal 49,235
With that explanation out of the way, let's continue. Next, we take the number 49,235 and divide it by 2:
49,235 ÷ 2 = 24,617.5
If the quotient is a whole number, then 2 and 24,617.5 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 | 49,235 | |
-1 | -49,235 |
Now, we try dividing 49,235 by 3:
49,235 ÷ 3 = 16,411.6667
If the quotient is a whole number, then 3 and 16,411.6667 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 | 49,235 | |
-1 | -49,235 |
Let's try dividing by 4:
49,235 ÷ 4 = 12,308.75
If the quotient is a whole number, then 4 and 12,308.75 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 | 49,235 | |
-1 | 49,235 |
If you did it right, you will end up with this table:
1 | 5 | 43 | 215 | 229 | 1,145 | 9,847 | 49,235 |
-1 | -5 | -43 | -215 | -229 | -1,145 | -9,847 | -49,235 |
Here are some more numbers to try:
Try the factor calculator