Q: What are the factor combinations of the number 24,695?
A:
Positive:
1 x 246955 x 493911 x 224555 x 449
Negative:
-1 x -24695-5 x -4939-11 x -2245-55 x -449
A:
Positive:
1 x 246955 x 493911 x 224555 x 449
Negative:
-1 x -24695-5 x -4939-11 x -2245-55 x -449
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 24,695, 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 | 24,695 | |
-1 | -24,695 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,695.
Example:
1 x 24,695 = 24,695
and
-1 x -24,695 = 24,695
Notice both answers equal 24,695
With that explanation out of the way, let's continue. Next, we take the number 24,695 and divide it by 2:
24,695 ÷ 2 = 12,347.5
If the quotient is a whole number, then 2 and 12,347.5 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 | 24,695 | |
-1 | -24,695 |
Now, we try dividing 24,695 by 3:
24,695 ÷ 3 = 8,231.6667
If the quotient is a whole number, then 3 and 8,231.6667 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 | 24,695 | |
-1 | -24,695 |
Let's try dividing by 4:
24,695 ÷ 4 = 6,173.75
If the quotient is a whole number, then 4 and 6,173.75 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 | 24,695 | |
-1 | 24,695 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 449 | 2,245 | 4,939 | 24,695 |
-1 | -5 | -11 | -55 | -449 | -2,245 | -4,939 | -24,695 |
Here are some more numbers to try:
Try the factor calculator