What are the common factors of 9 and 27?
Understand the Problem
The question is asking for the common factors of the numbers 9 and 27. This involves identifying which numbers can divide both 9 and 27 without leaving a remainder.
Answer
The common factors of 9 and 27 are $1, 3, 9$.
Answer for screen readers
The common factors of 9 and 27 are $1, 3, 9$.
Steps to Solve
- List the Factors of Each Number
Start by finding all the factors of 9. The factors of a number are the integers that can divide the number evenly.
Factors of 9: $1, 3, 9$
Now, list the factors of 27.
Factors of 27: $1, 3, 9, 27$
- Identify Common Factors
Next, look for the numbers that appear in both lists of factors.
From the factors of 9 ($1, 3, 9$) and the factors of 27 ($1, 3, 9, 27$), the common factors are:
Common factors: $1, 3, 9$
- Conclude the Solution
We have determined that the common factors of 9 and 27 are those factors shared between both lists.
The common factors are $1, 3, 9$.
The common factors of 9 and 27 are $1, 3, 9$.
More Information
Common factors are important in number theory and in finding the greatest common divisor (GCD) of numbers. The GCD can be useful in simplifying fractions and in many areas of mathematical problem-solving.
Tips
One common mistake is to list factors incorrectly—be sure to check each number carefully. Another mistake is to confuse factors with multiples; remember that factors divide evenly into the number.
