Q: What are the factor combinations of the number 395,575?
A:
Positive:
1 x 3955755 x 7911525 x 15823
Negative:
-1 x -395575-5 x -79115-25 x -15823
A:
Positive:
1 x 3955755 x 7911525 x 15823
Negative:
-1 x -395575-5 x -79115-25 x -15823
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 395,575, 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 | 395,575 | |
-1 | -395,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 395,575.
Example:
1 x 395,575 = 395,575
and
-1 x -395,575 = 395,575
Notice both answers equal 395,575
With that explanation out of the way, let's continue. Next, we take the number 395,575 and divide it by 2:
395,575 ÷ 2 = 197,787.5
If the quotient is a whole number, then 2 and 197,787.5 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 | 395,575 | |
-1 | -395,575 |
Now, we try dividing 395,575 by 3:
395,575 ÷ 3 = 131,858.3333
If the quotient is a whole number, then 3 and 131,858.3333 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 | 395,575 | |
-1 | -395,575 |
Let's try dividing by 4:
395,575 ÷ 4 = 98,893.75
If the quotient is a whole number, then 4 and 98,893.75 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 | 395,575 | |
-1 | 395,575 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 15,823 | 79,115 | 395,575 |
-1 | -5 | -25 | -15,823 | -79,115 | -395,575 |
Here are some more numbers to try:
Try the factor calculator