Q: What are the factor combinations of the number 49,819?
A:
Positive:
1 x 498197 x 711711 x 452977 x 647
Negative:
-1 x -49819-7 x -7117-11 x -4529-77 x -647
A:
Positive:
1 x 498197 x 711711 x 452977 x 647
Negative:
-1 x -49819-7 x -7117-11 x -4529-77 x -647
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 49,819, 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 | 49,819 | |
-1 | -49,819 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 49,819.
Example:
1 x 49,819 = 49,819
and
-1 x -49,819 = 49,819
Notice both answers equal 49,819
With that explanation out of the way, let's continue. Next, we take the number 49,819 and divide it by 2:
49,819 ÷ 2 = 24,909.5
If the quotient is a whole number, then 2 and 24,909.5 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 | 49,819 | |
-1 | -49,819 |
Now, we try dividing 49,819 by 3:
49,819 ÷ 3 = 16,606.3333
If the quotient is a whole number, then 3 and 16,606.3333 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 | 49,819 | |
-1 | -49,819 |
Let's try dividing by 4:
49,819 ÷ 4 = 12,454.75
If the quotient is a whole number, then 4 and 12,454.75 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 | 49,819 | |
-1 | 49,819 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 647 | 4,529 | 7,117 | 49,819 |
-1 | -7 | -11 | -77 | -647 | -4,529 | -7,117 | -49,819 |
Here are some more numbers to try:
Try the factor calculator