Q: What are the factor combinations of the number 314,917?
A:
Positive:
1 x 314917
Negative:
-1 x -314917
A:
Positive:
1 x 314917
Negative:
-1 x -314917
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 314,917, 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 | 314,917 | |
-1 | -314,917 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,917.
Example:
1 x 314,917 = 314,917
and
-1 x -314,917 = 314,917
Notice both answers equal 314,917
With that explanation out of the way, let's continue. Next, we take the number 314,917 and divide it by 2:
314,917 ÷ 2 = 157,458.5
If the quotient is a whole number, then 2 and 157,458.5 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 | 314,917 | |
-1 | -314,917 |
Now, we try dividing 314,917 by 3:
314,917 ÷ 3 = 104,972.3333
If the quotient is a whole number, then 3 and 104,972.3333 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 | 314,917 | |
-1 | -314,917 |
Let's try dividing by 4:
314,917 ÷ 4 = 78,729.25
If the quotient is a whole number, then 4 and 78,729.25 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 | 314,917 | |
-1 | 314,917 |
If you did it right, you will end up with this table:
1 | 314,917 |
-1 | -314,917 |
Here are some more numbers to try:
Try the factor calculator