Q: What are the factor combinations of the number 24,497?
A:
Positive:
1 x 2449711 x 222717 x 1441131 x 187
Negative:
-1 x -24497-11 x -2227-17 x -1441-131 x -187
A:
Positive:
1 x 2449711 x 222717 x 1441131 x 187
Negative:
-1 x -24497-11 x -2227-17 x -1441-131 x -187
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 24,497, 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 | 24,497 | |
-1 | -24,497 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,497.
Example:
1 x 24,497 = 24,497
and
-1 x -24,497 = 24,497
Notice both answers equal 24,497
With that explanation out of the way, let's continue. Next, we take the number 24,497 and divide it by 2:
24,497 ÷ 2 = 12,248.5
If the quotient is a whole number, then 2 and 12,248.5 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 | 24,497 | |
-1 | -24,497 |
Now, we try dividing 24,497 by 3:
24,497 ÷ 3 = 8,165.6667
If the quotient is a whole number, then 3 and 8,165.6667 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 | 24,497 | |
-1 | -24,497 |
Let's try dividing by 4:
24,497 ÷ 4 = 6,124.25
If the quotient is a whole number, then 4 and 6,124.25 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 | 24,497 | |
-1 | 24,497 |
If you did it right, you will end up with this table:
1 | 11 | 17 | 131 | 187 | 1,441 | 2,227 | 24,497 |
-1 | -11 | -17 | -131 | -187 | -1,441 | -2,227 | -24,497 |
Here are some more numbers to try:
Try the factor calculator