Q: What are the factor combinations of the number 48,269?
A:
Positive:
1 x 4826913 x 371347 x 102779 x 611
Negative:
-1 x -48269-13 x -3713-47 x -1027-79 x -611
A:
Positive:
1 x 4826913 x 371347 x 102779 x 611
Negative:
-1 x -48269-13 x -3713-47 x -1027-79 x -611
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 48,269, 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 | 48,269 | |
-1 | -48,269 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,269.
Example:
1 x 48,269 = 48,269
and
-1 x -48,269 = 48,269
Notice both answers equal 48,269
With that explanation out of the way, let's continue. Next, we take the number 48,269 and divide it by 2:
48,269 ÷ 2 = 24,134.5
If the quotient is a whole number, then 2 and 24,134.5 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 | 48,269 | |
-1 | -48,269 |
Now, we try dividing 48,269 by 3:
48,269 ÷ 3 = 16,089.6667
If the quotient is a whole number, then 3 and 16,089.6667 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 | 48,269 | |
-1 | -48,269 |
Let's try dividing by 4:
48,269 ÷ 4 = 12,067.25
If the quotient is a whole number, then 4 and 12,067.25 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 | 48,269 | |
-1 | 48,269 |
If you did it right, you will end up with this table:
1 | 13 | 47 | 79 | 611 | 1,027 | 3,713 | 48,269 |
-1 | -13 | -47 | -79 | -611 | -1,027 | -3,713 | -48,269 |
Here are some more numbers to try:
Try the factor calculator