Q: What are the factor combinations of the number 315,041?
A:
Positive:
1 x 31504147 x 6703
Negative:
-1 x -315041-47 x -6703
A:
Positive:
1 x 31504147 x 6703
Negative:
-1 x -315041-47 x -6703
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 315,041, 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 | 315,041 | |
-1 | -315,041 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,041.
Example:
1 x 315,041 = 315,041
and
-1 x -315,041 = 315,041
Notice both answers equal 315,041
With that explanation out of the way, let's continue. Next, we take the number 315,041 and divide it by 2:
315,041 ÷ 2 = 157,520.5
If the quotient is a whole number, then 2 and 157,520.5 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 | 315,041 | |
-1 | -315,041 |
Now, we try dividing 315,041 by 3:
315,041 ÷ 3 = 105,013.6667
If the quotient is a whole number, then 3 and 105,013.6667 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 | 315,041 | |
-1 | -315,041 |
Let's try dividing by 4:
315,041 ÷ 4 = 78,760.25
If the quotient is a whole number, then 4 and 78,760.25 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 | 315,041 | |
-1 | 315,041 |
If you did it right, you will end up with this table:
1 | 47 | 6,703 | 315,041 |
-1 | -47 | -6,703 | -315,041 |
Here are some more numbers to try:
Try the factor calculator