Q: What are the factor combinations of the number 1,201,595?
A:
Positive:
1 x 12015955 x 240319
Negative:
-1 x -1201595-5 x -240319
A:
Positive:
1 x 12015955 x 240319
Negative:
-1 x -1201595-5 x -240319
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 1,201,595, 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 | 1,201,595 | |
-1 | -1,201,595 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,201,595.
Example:
1 x 1,201,595 = 1,201,595
and
-1 x -1,201,595 = 1,201,595
Notice both answers equal 1,201,595
With that explanation out of the way, let's continue. Next, we take the number 1,201,595 and divide it by 2:
1,201,595 ÷ 2 = 600,797.5
If the quotient is a whole number, then 2 and 600,797.5 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 | 1,201,595 | |
-1 | -1,201,595 |
Now, we try dividing 1,201,595 by 3:
1,201,595 ÷ 3 = 400,531.6667
If the quotient is a whole number, then 3 and 400,531.6667 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 | 1,201,595 | |
-1 | -1,201,595 |
Let's try dividing by 4:
1,201,595 ÷ 4 = 300,398.75
If the quotient is a whole number, then 4 and 300,398.75 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 | 1,201,595 | |
-1 | 1,201,595 |
If you did it right, you will end up with this table:
1 | 5 | 240,319 | 1,201,595 |
-1 | -5 | -240,319 | -1,201,595 |
Here are some more numbers to try:
Try the factor calculator