Q: What are the factor combinations of the number 240,419?
A:
Positive:
1 x 24041923 x 10453
Negative:
-1 x -240419-23 x -10453
A:
Positive:
1 x 24041923 x 10453
Negative:
-1 x -240419-23 x -10453
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 240,419, 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 | 240,419 | |
-1 | -240,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 240,419.
Example:
1 x 240,419 = 240,419
and
-1 x -240,419 = 240,419
Notice both answers equal 240,419
With that explanation out of the way, let's continue. Next, we take the number 240,419 and divide it by 2:
240,419 ÷ 2 = 120,209.5
If the quotient is a whole number, then 2 and 120,209.5 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 | 240,419 | |
-1 | -240,419 |
Now, we try dividing 240,419 by 3:
240,419 ÷ 3 = 80,139.6667
If the quotient is a whole number, then 3 and 80,139.6667 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 | 240,419 | |
-1 | -240,419 |
Let's try dividing by 4:
240,419 ÷ 4 = 60,104.75
If the quotient is a whole number, then 4 and 60,104.75 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 | 240,419 | |
-1 | 240,419 |
If you did it right, you will end up with this table:
1 | 23 | 10,453 | 240,419 |
-1 | -23 | -10,453 | -240,419 |
Here are some more numbers to try:
Try the factor calculator