Q: What are the factor combinations of the number 250,609?
A:
Positive:
1 x 25060973 x 3433
Negative:
-1 x -250609-73 x -3433
A:
Positive:
1 x 25060973 x 3433
Negative:
-1 x -250609-73 x -3433
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 250,609, 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 | 250,609 | |
-1 | -250,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 250,609.
Example:
1 x 250,609 = 250,609
and
-1 x -250,609 = 250,609
Notice both answers equal 250,609
With that explanation out of the way, let's continue. Next, we take the number 250,609 and divide it by 2:
250,609 ÷ 2 = 125,304.5
If the quotient is a whole number, then 2 and 125,304.5 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 | 250,609 | |
-1 | -250,609 |
Now, we try dividing 250,609 by 3:
250,609 ÷ 3 = 83,536.3333
If the quotient is a whole number, then 3 and 83,536.3333 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 | 250,609 | |
-1 | -250,609 |
Let's try dividing by 4:
250,609 ÷ 4 = 62,652.25
If the quotient is a whole number, then 4 and 62,652.25 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 | 250,609 | |
-1 | 250,609 |
If you did it right, you will end up with this table:
1 | 73 | 3,433 | 250,609 |
-1 | -73 | -3,433 | -250,609 |
Here are some more numbers to try:
Try the factor calculator