Q: What are the factor combinations of the number 341,395?
A:
Positive:
1 x 3413955 x 68279
Negative:
-1 x -341395-5 x -68279
A:
Positive:
1 x 3413955 x 68279
Negative:
-1 x -341395-5 x -68279
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 341,395, 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 | 341,395 | |
-1 | -341,395 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 341,395.
Example:
1 x 341,395 = 341,395
and
-1 x -341,395 = 341,395
Notice both answers equal 341,395
With that explanation out of the way, let's continue. Next, we take the number 341,395 and divide it by 2:
341,395 ÷ 2 = 170,697.5
If the quotient is a whole number, then 2 and 170,697.5 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 | 341,395 | |
-1 | -341,395 |
Now, we try dividing 341,395 by 3:
341,395 ÷ 3 = 113,798.3333
If the quotient is a whole number, then 3 and 113,798.3333 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 | 341,395 | |
-1 | -341,395 |
Let's try dividing by 4:
341,395 ÷ 4 = 85,348.75
If the quotient is a whole number, then 4 and 85,348.75 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 | 341,395 | |
-1 | 341,395 |
If you did it right, you will end up with this table:
1 | 5 | 68,279 | 341,395 |
-1 | -5 | -68,279 | -341,395 |
Here are some more numbers to try:
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