Q: What are the factor combinations of the number 301,481?
A:
Positive:
1 x 301481103 x 2927
Negative:
-1 x -301481-103 x -2927
A:
Positive:
1 x 301481103 x 2927
Negative:
-1 x -301481-103 x -2927
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 301,481, 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 | 301,481 | |
-1 | -301,481 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,481.
Example:
1 x 301,481 = 301,481
and
-1 x -301,481 = 301,481
Notice both answers equal 301,481
With that explanation out of the way, let's continue. Next, we take the number 301,481 and divide it by 2:
301,481 ÷ 2 = 150,740.5
If the quotient is a whole number, then 2 and 150,740.5 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 | 301,481 | |
-1 | -301,481 |
Now, we try dividing 301,481 by 3:
301,481 ÷ 3 = 100,493.6667
If the quotient is a whole number, then 3 and 100,493.6667 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 | 301,481 | |
-1 | -301,481 |
Let's try dividing by 4:
301,481 ÷ 4 = 75,370.25
If the quotient is a whole number, then 4 and 75,370.25 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 | 301,481 | |
-1 | 301,481 |
If you did it right, you will end up with this table:
1 | 103 | 2,927 | 301,481 |
-1 | -103 | -2,927 | -301,481 |
Here are some more numbers to try:
Try the factor calculator