Is 270 a prime number?

The number 270 has multiple factors that can divide it completely without leaving any remainder. Thus, the number 270 is a non-prime number. The factors of 270 include 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270.

For a number to be classified as a prime number, it should have only two factors: 1 and itself. Since 270 has more than two factors, it is classified as a composite number.

Below are various methods that can be used to identify whether a number is prime or composite.

The different methods we can use to check if a number is a prime number are explained below:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

In the counting divisors method, we check how many numbers divide 270 without leaving a remainder.
The counting divisors method for 270 is as follows:

Divisors of 270 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Number of divisors = 16

Since 270 has more than two divisors, it is classified as a composite number.
 

In the divisibility test, we attempt to divide the number by smaller prime numbers. If it is divisible by any of them (apart from 1 and itself), the number is composite.

The divisors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

Thus, 270 is not a prime number as it has multiple factors.
 

The prime number chart is a list of prime numbers starting from 2 to infinity.

The list of prime numbers under 300 includes:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293.

Since 270 is not present in this list, it is not a prime number.
 

Prime factorization is used for composite numbers. Since 270 is a composite number, its prime factorization is as follows:

Factors of 270 = 2 × 3 × 3 × 3 × 5
 

• Prime Number: A natural number greater than 1 that has only two factors: 1 and itself. For example, 2, 3, and 5 are prime numbers.

• Composite Number: A natural number greater than 1 that has more than two factors. For example, 4, 6, and 270 are composite numbers.

• Factors:Numbers that divide another number completely without leaving a remainder. For example, the factors of 270 include 1, 2, 3, 5, and more.

• Prime Factorization:The process of expressing a composite number as the product of its prime factors. For example, the prime factorization of 270 is 2×3³×5.

• Divisibility Test: A method to check if one number divides another without a remainder. This is commonly used to identify factors and determine if a number is prime or composite.