Is 847 a Prime Number?

There are two types of numbers, mostly — Prime numbers and composite numbers, depending on the number of factors. A prime number is a natural number that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself. A composite number is a positive 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 follow a few properties, such as: - Prime numbers are positive numbers always greater than 1. - 2 is the only even prime number. - They have only two factors: 1 and the number itself. - Any two distinct prime numbers are co-prime numbers because they have only one common factor, which is 1. As 847 has more than two factors, it is not a prime number.

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 847 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers. Some methods include: - Counting Divisors Method - Divisibility Test - Prime Number Chart - Prime Factorization

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers. - If there is a total count of only 2 divisors, then the number would be prime. - If the count is more than 2, then the number is composite. Let’s check whether 847 is prime or composite. Step 1: All numbers are divisible by 1 and itself. Step 2: Divide 847 by 2. It is not divisible by 2, so 2 is not a factor of 847. Step 3: Divide 847 by 3. It is not divisible by 3, so 3 is not a factor of 847. Step 4: You can simplify checking divisors up to 847 by finding the square root value. We then need to only check divisors up to the square root value. Step 5: When we divide 847 by 7, it is divisible evenly. Therefore, 7 is a factor of 847. Since 847 has more than 2 divisors, it is a composite number.

We use a set of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method. - Divisibility by 2: The number in the ones' place value is 7, which is odd. Therefore, 847 is not divisible by 2. - Divisibility by 3: The sum of the digits in the number 847 is 19. Since 19 is not divisible by 3, 847 is also not divisible by 3. - Divisibility by 5: The unit's place digit is 7. Therefore, 847 is not divisible by 5. - Divisibility by 7: Divide 847 by 7, and it results in a whole number (121). Thus, 847 is divisible by 7. Since 847 is divisible by 7, it has more than two factors. Therefore, it is a composite number.

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps. Step 1: Write 1 to 1000 in rows and columns. Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite. Step 3: Mark 2 because it is a prime number and cross out all the multiples of 2. Step 4: Mark 3 because it is a prime number and cross out all the multiples of 3. Step 5: Repeat this process until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we will have a list of prime numbers from 1 to 1000. 847 is not present in the list of prime numbers, so it is a composite number.

Prime factorization is a process of breaking down a number into prime factors. Then multiply those factors to obtain the original number. Step 1: We can write 847 as 7 × 121. Step 2: In 7 × 121, 121 is a composite number. Further, break down 121 into 11 × 11. Step 3: Now we get the product consisting of only prime numbers. Hence, the prime factorization of 847 is 7 × 11 × 11.

Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 12 is a composite number because 12 is divisible by 1, 2, 3, 4, 6, and 12. Twin primes: The pair of prime numbers whose difference is 2 are called twin prime numbers. For example, (11, 13) is a pair of twin primes because the difference between 13 and 11 is 2. Factors: The numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 4 are 1, 2, and 4 because they divide 4 completely. Prime factorization: The process of expressing a number as the product of its prime factors. Divisibility rules: A set of rules that help determine whether one number is divisible by another without performing division.