Is 662 a Prime Number?

Numbers can be categorized as prime numbers or composite numbers based on the number of factors they have. A prime number is a natural number that is only divisible by 1 and itself. For instance, 3 is a prime number because it is divisible only by 1 and 3. A composite number is a natural number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number. Prime numbers have a few properties, such as: - Prime numbers are positive integers greater than 1. - 2 is the only even prime number. - They have exactly two distinct factors: 1 and the number itself. - Any two distinct prime numbers are co-prime because their only common factor is 1. Since 662 has more than two factors, it is not a prime number.

A prime number is characterized by having only two divisors: 1 and itself. Because 662 has more than two factors, it is not a prime number. There are several methods to distinguish between prime and composite numbers, including: - Counting Divisors Method - Divisibility Test - Prime Number Chart - Prime Factorization

The counting divisors method involves counting the number of divisors to classify numbers as prime or composite. Based on the number of divisors, we can determine whether a number is prime or composite. - If there are exactly 2 divisors, the number is prime. - If there are more than 2 divisors, the number is composite. Let’s check whether 662 is prime or composite. Step 1: Every number is divisible by 1 and itself. Step 2: Divide 662 by 2. It is divisible by 2, so 2 is a factor of 662. Step 3: Divide 662 by 3. It is not divisible by 3, so 3 is not a factor. Step 4: You can simplify checking divisors up to 662 by finding its square root and checking divisors up to that value. Step 5: When we divide 662 by 2, 331, and potentially others, it is clear that 662 has more than 2 divisors. Since 662 has more than 2 divisors, it is a composite number.

The Divisibility Test Method uses a set of rules to check whether a number is completely divisible by another number. - Divisibility by 2: Since 662 ends in 2, it is divisible by 2. - Divisibility by 3: The sum of the digits in 662 is 6 + 6 + 2 = 14, which is not divisible by 3. Thus, 662 is not divisible by 3. - Divisibility by 5: 662 does not end in 0 or 5, so it is not divisible by 5. - Divisibility by 7: Perform the divisibility test for 7. (Double the last digit, subtract from the rest of the number, etc.) - Divisibility by 11: The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0, meaning 662 is divisible by 11. Since 662 is divisible by 2 and 11, it has more than two factors and is a composite number.

A prime number chart is a tool created using a method called “The Sieve of Eratosthenes.” Here’s how it works: Step 1: Write numbers from 1 to 1000 in rows and columns. Step 2: Leave 1 unmarked, as it is neither prime nor composite. Step 3: Mark 2 as a prime number and cross out all its multiples. Step 4: Mark 3 as a prime number and cross out all its multiples. Step 5: Continue this process until you have a list of marked (prime) and crossed (non-prime) numbers. Through this process, you will have a list of prime numbers up to 1000. Since 662 is not in the list of prime numbers, it is a composite number.

Prime factorization involves breaking down a number into its prime factors, then multiplying those factors to obtain the original number. Step 1: We can express 662 as 2 × 331. Step 2: Since 331 is a prime number, we stop here. Thus, the prime factorization of 662 is 2 × 331.

Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers. For example, 662 is a composite number because it is divisible by 1, 2, 331, and 662. Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. Divisibility rules: Guidelines that help determine whether a number can be divided by another without a remainder. Factors: Numbers that divide a given number exactly without leaving a remainder. Sieve of Eratosthenes: An ancient algorithm used to find all prime numbers up to a specified integer.