Q: What are the factor combinations of the number 315,365?
A:
Positive:
1 x 3153655 x 63073
Negative:
-1 x -315365-5 x -63073
A:
Positive:
1 x 3153655 x 63073
Negative:
-1 x -315365-5 x -63073
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 315,365, 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 | 315,365 | |
-1 | -315,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 315,365.
Example:
1 x 315,365 = 315,365
and
-1 x -315,365 = 315,365
Notice both answers equal 315,365
With that explanation out of the way, let's continue. Next, we take the number 315,365 and divide it by 2:
315,365 ÷ 2 = 157,682.5
If the quotient is a whole number, then 2 and 157,682.5 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 | 315,365 | |
-1 | -315,365 |
Now, we try dividing 315,365 by 3:
315,365 ÷ 3 = 105,121.6667
If the quotient is a whole number, then 3 and 105,121.6667 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 | 315,365 | |
-1 | -315,365 |
Let's try dividing by 4:
315,365 ÷ 4 = 78,841.25
If the quotient is a whole number, then 4 and 78,841.25 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 | 315,365 | |
-1 | 315,365 |
If you did it right, you will end up with this table:
1 | 5 | 63,073 | 315,365 |
-1 | -5 | -63,073 | -315,365 |
Here are some more numbers to try:
Try the factor calculator