What is the HCF of the smallest composite number and the smallest prime number?
Answers
SOLUTION :
The smallest composite number = 4 = 2²
The smallest prime number = 2 = 2¹
[HCF = product of the smallest power ]
HCF = 2
Hence , the HCF of the smallest composite number and the smallest prime number is 2.
★★COMPOSITE NUMBER :
A number is called a composite number , if it has at least one factor other than 1 (one) and the number itself .
E g. 4, 6, 24, 45, 188 are composite numbers.
★★PRIME NUMBER : A number is called a prime number, if it has no factor other than one and the number itself.
E.g - 2, 3, 5, 7, 11, 23,.... are prime numbers..
HCF : HCF of two or more numbers = product ★★of the smallest power of each common prime factor involved in the numbers.
**1 is neither Prime nor composite.
**The smallest composite number is 4 it is even also and the smallest composite odd number is 9.
**The smallest prime number is 2 and the smallest prime odd number is 3.
HOPE THIS ANSWER WILL HELP YOU...
Answer:
Step-by-step explanation:
Composite number : Any positive integers that has a factor other than 1 and itself.
Ex: 4,6,8,9,10.
Prime number: Any positive integers that has no positive divisors other than 1 and itself.
Ex: 2,3,5,7,11.
Now, We have to find the HCF of smallest composite number and smallest prime number.
⇒ HCF(4,2) = 2.
Therefore, HCF of smallest composite numbers and prime numbers is 2.
Hope it helps!