Q: What are the factor combinations of the number 334,417?
A:
Positive:
1 x 334417137 x 2441
Negative:
-1 x -334417-137 x -2441
A:
Positive:
1 x 334417137 x 2441
Negative:
-1 x -334417-137 x -2441
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 334,417, 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 | 334,417 | |
-1 | -334,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 334,417.
Example:
1 x 334,417 = 334,417
and
-1 x -334,417 = 334,417
Notice both answers equal 334,417
With that explanation out of the way, let's continue. Next, we take the number 334,417 and divide it by 2:
334,417 ÷ 2 = 167,208.5
If the quotient is a whole number, then 2 and 167,208.5 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 | 334,417 | |
-1 | -334,417 |
Now, we try dividing 334,417 by 3:
334,417 ÷ 3 = 111,472.3333
If the quotient is a whole number, then 3 and 111,472.3333 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 | 334,417 | |
-1 | -334,417 |
Let's try dividing by 4:
334,417 ÷ 4 = 83,604.25
If the quotient is a whole number, then 4 and 83,604.25 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 | 334,417 | |
-1 | 334,417 |
If you did it right, you will end up with this table:
1 | 137 | 2,441 | 334,417 |
-1 | -137 | -2,441 | -334,417 |
Here are some more numbers to try:
Try the factor calculator