Example 1: Find the number of common factors of 36 and 4.
Solution:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 4: 1, 2 and 4.
So, the common factors of 36 and 4 are 1, 2 and 4.
Hence, 4 and 36 have 3 common factors.
Example 2: On a table, there are 4 soda drinks. Jenny is responsible for distributing the drinks to her two friends equally. What is the total number of drinks that each friend will receive after the distribution?
Solution:
Total number of drinks = 4
Total number of friends = 2
Number of drinks, each friend will get = \(\frac{4}{2}=2\)
So, each friend will get 2 drinks after Jenny distributes the drinks.
Example 3: Is 3 a factor of 4?
Solution:
No, 3 is not a factor of 4. As the number 3 does not divide 4 exactly. It leaves a remainder of 1. So, 3 is not a factor of 4.
Example 4: Which prime factor of 4 has the highest value?
Solution:
The number 4 has a prime factorization of 2 x 2. As a result, the highest prime factor of 4 is 2.
Example 5: What are the factors common between 18 and 4?
Solution:
Factors of 18 are 1, 2, 3, 6, 9, and 18
Factors of 4 are 1, 2 and 4.
So, the common factors of 18 and 4 are 1 and 2.
