Q: What are the factor combinations of the number 49,615?
A:
Positive:
1 x 496155 x 9923
Negative:
-1 x -49615-5 x -9923
A:
Positive:
1 x 496155 x 9923
Negative:
-1 x -49615-5 x -9923
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 49,615, 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 | 49,615 | |
-1 | -49,615 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 49,615.
Example:
1 x 49,615 = 49,615
and
-1 x -49,615 = 49,615
Notice both answers equal 49,615
With that explanation out of the way, let's continue. Next, we take the number 49,615 and divide it by 2:
49,615 ÷ 2 = 24,807.5
If the quotient is a whole number, then 2 and 24,807.5 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 | 49,615 | |
-1 | -49,615 |
Now, we try dividing 49,615 by 3:
49,615 ÷ 3 = 16,538.3333
If the quotient is a whole number, then 3 and 16,538.3333 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 | 49,615 | |
-1 | -49,615 |
Let's try dividing by 4:
49,615 ÷ 4 = 12,403.75
If the quotient is a whole number, then 4 and 12,403.75 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 | 49,615 | |
-1 | 49,615 |
If you did it right, you will end up with this table:
1 | 5 | 9,923 | 49,615 |
-1 | -5 | -9,923 | -49,615 |
Here are some more numbers to try:
Try the factor calculator