Q: What are the factor combinations of the number 48,625?
A:
Positive:
1 x 486255 x 972525 x 1945125 x 389
Negative:
-1 x -48625-5 x -9725-25 x -1945-125 x -389
A:
Positive:
1 x 486255 x 972525 x 1945125 x 389
Negative:
-1 x -48625-5 x -9725-25 x -1945-125 x -389
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 48,625, 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 | 48,625 | |
-1 | -48,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,625.
Example:
1 x 48,625 = 48,625
and
-1 x -48,625 = 48,625
Notice both answers equal 48,625
With that explanation out of the way, let's continue. Next, we take the number 48,625 and divide it by 2:
48,625 ÷ 2 = 24,312.5
If the quotient is a whole number, then 2 and 24,312.5 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 | 48,625 | |
-1 | -48,625 |
Now, we try dividing 48,625 by 3:
48,625 ÷ 3 = 16,208.3333
If the quotient is a whole number, then 3 and 16,208.3333 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 | 48,625 | |
-1 | -48,625 |
Let's try dividing by 4:
48,625 ÷ 4 = 12,156.25
If the quotient is a whole number, then 4 and 12,156.25 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 | 48,625 | |
-1 | 48,625 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 389 | 1,945 | 9,725 | 48,625 |
-1 | -5 | -25 | -125 | -389 | -1,945 | -9,725 | -48,625 |
Here are some more numbers to try:
Try the factor calculator