Q: What are the factor combinations of the number 244,919?
A:
Positive:
1 x 24491917 x 14407
Negative:
-1 x -244919-17 x -14407
A:
Positive:
1 x 24491917 x 14407
Negative:
-1 x -244919-17 x -14407
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 244,919, 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 | 244,919 | |
-1 | -244,919 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 244,919.
Example:
1 x 244,919 = 244,919
and
-1 x -244,919 = 244,919
Notice both answers equal 244,919
With that explanation out of the way, let's continue. Next, we take the number 244,919 and divide it by 2:
244,919 ÷ 2 = 122,459.5
If the quotient is a whole number, then 2 and 122,459.5 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 | 244,919 | |
-1 | -244,919 |
Now, we try dividing 244,919 by 3:
244,919 ÷ 3 = 81,639.6667
If the quotient is a whole number, then 3 and 81,639.6667 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 | 244,919 | |
-1 | -244,919 |
Let's try dividing by 4:
244,919 ÷ 4 = 61,229.75
If the quotient is a whole number, then 4 and 61,229.75 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 | 244,919 | |
-1 | 244,919 |
If you did it right, you will end up with this table:
1 | 17 | 14,407 | 244,919 |
-1 | -17 | -14,407 | -244,919 |
Here are some more numbers to try:
Try the factor calculator