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Smallest Prime Number: 2: Largest Prime Number: As of November 2022, the largest known prime number is 2 82,589,933 – 1, with 24,862,048 digits. It was founded by the Great Internet Mersenne Prime Search (GIMPS) in 2018. Even Prime Number: 2 is the only even prime number, and the rest of the prime numbers are odd numbers, hence called odd ...
Find L.C.M. of smallest composite number and smallest prime number. We know that, a prime number is a number that has exactly two factors i.e. 1 and itself. So, the smallest prime number is 2. And, a composite number has more than two factors, i.e., apart from 1 and itself, it can also be divided by at least one number. So, the smallest ...
Yes, 2 is a prime number. According to the definition of prime numbers, any whole number which has only 2 factors is known as a prime number. Now, the factors of 2 are 1 and 2. Since there are exactly two factors of 2, it is a prime number. Lesson Highlights:
Which of the following statements are true? (i) 1 is the smallest prime number. (ii) If a number is prime, it must be odd. (iii) The sum of two prime numbers is always a prime number. (iv) If two numbers are co-primes, at least one of them must be a prime number. Q. A number a has 7 as its smallest prime factor, and another number b has 3 as ...
Let us consider the smallest three-digit number which is 100. 100 2 = 50. ∴ 100 does not belong to the prime number group. Let us take 101, which is not divided by any of the prime numbers 2, 3, 5, 7 …. ∴ 101, is a prime number. Hence, 101, belongs to the smallest three-digit prime number group.
What is the smallest prime number that can be written as the sum of three different prime numbers? (A prime number is a number that has only two factors, 1 and itself; 1 is not a prime number.) A. 10 B. 15 C. 17 D. 19 E. 23
Solved Examples on Prime and Composite Numbers. Q.1: Find if 81 is a prime number or composite number. Solution: Given, the number is 81. Since, it is an odd number, thus we can check dividing 81 by the smallest odd prime number, i.e., 3. 81/3 = 27. Again 27 is an odd number, dividing it by 3, we get; 27/3 = 9.
3 is the smallest odd prime number. Every number may be represented as a distinct product of prime numbers with integer powers. A number is considered to be prime if it contains just two factors: 1 the number itself. 1 is not a prime number. When we consider 1 being a prime number, we cannot have a unique representation for any number.
Definition 1: In Mathematics, composite numbers are numbers that have more than two factors. Definition 2: The numbers which can be generated by multiplying the two smallest positive integers and contain at least one divisor other than the number ‘1’ and itself are known as composite numbers. These numbers always have more than two factors.
Hence, the smallest prime and composite number are 2 and 4. Suggest Corrections.