Q: What are the factor combinations of the number 351,317?
A:
Positive:
1 x 351317113 x 3109
Negative:
-1 x -351317-113 x -3109
A:
Positive:
1 x 351317113 x 3109
Negative:
-1 x -351317-113 x -3109
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 351,317, 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 | 351,317 | |
-1 | -351,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 351,317.
Example:
1 x 351,317 = 351,317
and
-1 x -351,317 = 351,317
Notice both answers equal 351,317
With that explanation out of the way, let's continue. Next, we take the number 351,317 and divide it by 2:
351,317 ÷ 2 = 175,658.5
If the quotient is a whole number, then 2 and 175,658.5 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 | 351,317 | |
-1 | -351,317 |
Now, we try dividing 351,317 by 3:
351,317 ÷ 3 = 117,105.6667
If the quotient is a whole number, then 3 and 117,105.6667 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 | 351,317 | |
-1 | -351,317 |
Let's try dividing by 4:
351,317 ÷ 4 = 87,829.25
If the quotient is a whole number, then 4 and 87,829.25 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 | 351,317 | |
-1 | 351,317 |
If you did it right, you will end up with this table:
1 | 113 | 3,109 | 351,317 |
-1 | -113 | -3,109 | -351,317 |
Here are some more numbers to try:
Try the factor calculator