Prime Factorisation of natural number 288 is 
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To find the prime factorization of the natural number 288, we will systematically divide by the smallest prime numbers until we are left with 1.

1. Start with 288 and divide by the smallest prime number, which is 2:
\[ 288 \div 2 = 144 \]

2. Continue dividing the quotient by 2:
\[ 144 \div 2 = 72 \]
\[ 72 \div 2 = 36 \]
\[ 36 \div 2 = 18 \]
\[ 18 \div 2 = 9 \]

3. Now, 9 is not divisible by 2, so move to the next smallest prime number, which is 3:
\[ 9 \div 3 = 3 \]
\[ 3 \div 3 = 1 \]

So, the prime factorization of 288 is:

\[ 288 = 2^5 \times 3^2 \]

Would you like more details or have any questions?

Here are some related questions:
1. How can you verify the prime factorization of a number?
2. What is the prime factorization of 360?
3. How do you find the greatest common divisor (GCD) using prime factorization?
4. What is the prime factorization of a perfect square?
5. Can you explain why prime numbers are fundamental in number theory?
6. How does prime factorization help in simplifying fractions?
7. What is the prime factorization of 1000?
8. How do prime factors relate to the divisors of a number?

**Tip:** When performing prime factorization, always start with the smallest prime number and work your way up to larger primes. This method ensures you systematically break down the number into its prime components.

Understand the prime factorization of the natural number 288 step-by-step. Learn how to systematically divide by prime numbers to find the prime factors of 288. Suitable for Grades 6-8.

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