Q: What are the factor combinations of the number 488,251?
A:
Positive:
1 x 488251349 x 1399
Negative:
-1 x -488251-349 x -1399
A:
Positive:
1 x 488251349 x 1399
Negative:
-1 x -488251-349 x -1399
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 488,251, 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 | 488,251 | |
-1 | -488,251 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 488,251.
Example:
1 x 488,251 = 488,251
and
-1 x -488,251 = 488,251
Notice both answers equal 488,251
With that explanation out of the way, let's continue. Next, we take the number 488,251 and divide it by 2:
488,251 ÷ 2 = 244,125.5
If the quotient is a whole number, then 2 and 244,125.5 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 | 488,251 | |
-1 | -488,251 |
Now, we try dividing 488,251 by 3:
488,251 ÷ 3 = 162,750.3333
If the quotient is a whole number, then 3 and 162,750.3333 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 | 488,251 | |
-1 | -488,251 |
Let's try dividing by 4:
488,251 ÷ 4 = 122,062.75
If the quotient is a whole number, then 4 and 122,062.75 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 | 488,251 | |
-1 | 488,251 |
If you did it right, you will end up with this table:
1 | 349 | 1,399 | 488,251 |
-1 | -349 | -1,399 | -488,251 |
Here are some more numbers to try:
Try the factor calculator