Q: What are the factor combinations of the number 195,149?
A:
Positive:
1 x 19514919 x 10271
Negative:
-1 x -195149-19 x -10271
A:
Positive:
1 x 19514919 x 10271
Negative:
-1 x -195149-19 x -10271
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 195,149, 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 | 195,149 | |
-1 | -195,149 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 195,149.
Example:
1 x 195,149 = 195,149
and
-1 x -195,149 = 195,149
Notice both answers equal 195,149
With that explanation out of the way, let's continue. Next, we take the number 195,149 and divide it by 2:
195,149 ÷ 2 = 97,574.5
If the quotient is a whole number, then 2 and 97,574.5 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 | 195,149 | |
-1 | -195,149 |
Now, we try dividing 195,149 by 3:
195,149 ÷ 3 = 65,049.6667
If the quotient is a whole number, then 3 and 65,049.6667 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 | 195,149 | |
-1 | -195,149 |
Let's try dividing by 4:
195,149 ÷ 4 = 48,787.25
If the quotient is a whole number, then 4 and 48,787.25 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 | 195,149 | |
-1 | 195,149 |
If you did it right, you will end up with this table:
1 | 19 | 10,271 | 195,149 |
-1 | -19 | -10,271 | -195,149 |
Here are some more numbers to try:
Try the factor calculator