Table Of Contents

Table of Contents

122 Learners

Last updated on December 4th, 2024

Is 297 a Prime Number

Q: What is the LCM of 6 and 3?

The least common multiple of 10 and 15 is 30, the number evenly divisible by the two given numbers.

Q: Is 11 a factor of 297?

11 is a factor of 297, where it divides the number 297 exactly.

Q: Is 297 divisible by 3?

297 is divisible by 3, to find the divisibility for 3, sum the digits of the number and check it is divisible by 3.

Q: List the factors of 297.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297, where it is a composite number.

Q: Is the number 297 a perfect square?

297 can not be a perfect square. The square root does not result in an integer.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

You need to understand that prime numbers that hold only two factors(1 and itself). Even though we are not aware of prime numbers, we apply them to create a unique digital fingerprint of data.

Is 297 a Prime Number?

To find the number 297 prime or composite numbers. We need to check the number which holds only two factors, 1, and the number itself. The factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297, then it becomes the prime number.

Why is 297 a Prime Number?

If you want to conclude the number is prime or composite, check the divisibility of the number. If the number has two factors, then it is a prime number.

There are different methods to follow, some easy methods to find square roots are given below.

Counting Divisors Method

Divisibility Test Method

Prime Number Chart

Prime Factorization Method

Using the Counting Divisors Method

In this counting divisor method, we need to count the divisors of a number. The number, which holds more than two factors, is said to be a composite number.

Let’s check the number 297.

The divisors of 297 = 1, 3, 9, 11, 27, 33, 99, and 297.

297, holds only two divisors, so it is a composite number.

Using the Divisibility Test Method

For the divisibility rule, the number is greater than 1 and can be divisible by 1 and the number itself. In other words, it can be said that if a prime number is divisible by any number, the quotient is not a whole number. 297 is divisible by 1, 3, 9, 11, 27, 33, 99, and 297, making it a composite number.

Using Prime Number Chart

In this method, we find the square root by listing the prime number chart:

Here, we list the prime numbers up to 310 = 2, 3, 5…283, 293, 307.

From the above number chart, we obtained that 297 is a composite number.

Using the Prime Factorization Method

In this method, we need to find the prime factorization of 297

The prime factorization is said to be the numbers as the product of their prime factors.

Prime factorization of 297 = 3³ × 11

Therefore, 297 is factored into smaller prime factors, then 297 is a composite number.

Common Mistakes to Avoid When Determining if 297 is a Prime Number

FAQs: Is 297 a Prime Number?

1.What is the LCM of 6 and 3?

2.Is 11 a factor of 297?

3.Is 297 divisible by 3?

4.List the factors of 297.

5.Is the number 297 a perfect square?

Important Glossaries for "Is 297 a Prime Number"

Perfect Divisor: The Integers which are divided into numbers completely without leaving any remainder.

Composite Number: These numbers hold factors more than itself and one.

Prime number chart: It consists of all prime numbers from smallest to largest.

Prime Factorization: It is a number as the product of its prime factors

$Math Teacher Image$

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.