Q: What are the factor combinations of the number 27,001,075?
A:
Positive:
1 x 270010755 x 540021525 x 1080043
Negative:
-1 x -27001075-5 x -5400215-25 x -1080043
A:
Positive:
1 x 270010755 x 540021525 x 1080043
Negative:
-1 x -27001075-5 x -5400215-25 x -1080043
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 27,001,075, 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 | 27,001,075 | |
-1 | -27,001,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,001,075.
Example:
1 x 27,001,075 = 27,001,075
and
-1 x -27,001,075 = 27,001,075
Notice both answers equal 27,001,075
With that explanation out of the way, let's continue. Next, we take the number 27,001,075 and divide it by 2:
27,001,075 ÷ 2 = 13,500,537.5
If the quotient is a whole number, then 2 and 13,500,537.5 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 | 27,001,075 | |
-1 | -27,001,075 |
Now, we try dividing 27,001,075 by 3:
27,001,075 ÷ 3 = 9,000,358.3333
If the quotient is a whole number, then 3 and 9,000,358.3333 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 | 27,001,075 | |
-1 | -27,001,075 |
Let's try dividing by 4:
27,001,075 ÷ 4 = 6,750,268.75
If the quotient is a whole number, then 4 and 6,750,268.75 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 | 27,001,075 | |
-1 | 27,001,075 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,080,043 | 5,400,215 | 27,001,075 |
-1 | -5 | -25 | -1,080,043 | -5,400,215 | -27,001,075 |
Here are some more numbers to try:
Try the factor calculator