Q: What are the factor combinations of the number 341,975?
A:
Positive:
1 x 3419755 x 6839525 x 13679
Negative:
-1 x -341975-5 x -68395-25 x -13679
A:
Positive:
1 x 3419755 x 6839525 x 13679
Negative:
-1 x -341975-5 x -68395-25 x -13679
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 341,975, 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 | 341,975 | |
-1 | -341,975 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 341,975.
Example:
1 x 341,975 = 341,975
and
-1 x -341,975 = 341,975
Notice both answers equal 341,975
With that explanation out of the way, let's continue. Next, we take the number 341,975 and divide it by 2:
341,975 ÷ 2 = 170,987.5
If the quotient is a whole number, then 2 and 170,987.5 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 | 341,975 | |
-1 | -341,975 |
Now, we try dividing 341,975 by 3:
341,975 ÷ 3 = 113,991.6667
If the quotient is a whole number, then 3 and 113,991.6667 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 | 341,975 | |
-1 | -341,975 |
Let's try dividing by 4:
341,975 ÷ 4 = 85,493.75
If the quotient is a whole number, then 4 and 85,493.75 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 | 341,975 | |
-1 | 341,975 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 13,679 | 68,395 | 341,975 |
-1 | -5 | -25 | -13,679 | -68,395 | -341,975 |
Here are some more numbers to try:
Try the factor calculator