Q: What are the factor combinations of the number 314,947?
A:
Positive:
1 x 31494747 x 6701
Negative:
-1 x -314947-47 x -6701
A:
Positive:
1 x 31494747 x 6701
Negative:
-1 x -314947-47 x -6701
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 314,947, 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 | 314,947 | |
-1 | -314,947 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,947.
Example:
1 x 314,947 = 314,947
and
-1 x -314,947 = 314,947
Notice both answers equal 314,947
With that explanation out of the way, let's continue. Next, we take the number 314,947 and divide it by 2:
314,947 ÷ 2 = 157,473.5
If the quotient is a whole number, then 2 and 157,473.5 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 | 314,947 | |
-1 | -314,947 |
Now, we try dividing 314,947 by 3:
314,947 ÷ 3 = 104,982.3333
If the quotient is a whole number, then 3 and 104,982.3333 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 | 314,947 | |
-1 | -314,947 |
Let's try dividing by 4:
314,947 ÷ 4 = 78,736.75
If the quotient is a whole number, then 4 and 78,736.75 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 | 314,947 | |
-1 | 314,947 |
If you did it right, you will end up with this table:
1 | 47 | 6,701 | 314,947 |
-1 | -47 | -6,701 | -314,947 |
Here are some more numbers to try:
Try the factor calculator