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Original 2026-01-01
Modified 2026-02-28
1 <p>Prime numbers are a<a>set</a>of natural numbers that can only be divided by 1 and the number itself. Here are the two important ways to find whether a number is prime or not.</p>
1 <p>Prime numbers are a<a>set</a>of natural numbers that can only be divided by 1 and the number itself. Here are the two important ways to find whether a number is prime or not.</p>
2 <h3>By Divisibility Method:</h3>
2 <h3>By Divisibility Method:</h3>
3 <p>To find whether a number is prime or not, we use the divisibility method to check. If a number is divisible by 2, 3, or 5, then it will result in a non-prime number. Prime numbers are only divisible by 1 and itself, so if a number is divisible by the number itself and 1, it is a prime number.</p>
3 <p>To find whether a number is prime or not, we use the divisibility method to check. If a number is divisible by 2, 3, or 5, then it will result in a non-prime number. Prime numbers are only divisible by 1 and itself, so if a number is divisible by the number itself and 1, it is a prime number.</p>
4 <p>For example: To check whether 11 is a prime number,</p>
4 <p>For example: To check whether 11 is a prime number,</p>
5 <p><strong>Step 1:</strong>11 ÷ 2 = 5.5 (<a>remainder</a>≠ 0)</p>
5 <p><strong>Step 1:</strong>11 ÷ 2 = 5.5 (<a>remainder</a>≠ 0)</p>
6 <p><strong>Step 2:</strong>11 ÷ 3 = 3.66 (remainder ≠ 0)</p>
6 <p><strong>Step 2:</strong>11 ÷ 3 = 3.66 (remainder ≠ 0)</p>
7 <p>Since no divisors are found, 11 is a prime number.</p>
7 <p>Since no divisors are found, 11 is a prime number.</p>
8 <h3>By Prime Factorization Method:</h3>
8 <h3>By Prime Factorization Method:</h3>
9 <p>The Prime factorization method is the process of breaking down the<a>composite number</a>into the<a>product</a>of its<a>prime factors</a>. The method of prime factorization helps to identify the prime numbers up to 16 by building the smallest blocks of any given number.</p>
9 <p>The Prime factorization method is the process of breaking down the<a>composite number</a>into the<a>product</a>of its<a>prime factors</a>. The method of prime factorization helps to identify the prime numbers up to 16 by building the smallest blocks of any given number.</p>
10 <p>For example: The prime factorization of 16: Let's break it down into the smallest prime numbers until it can’t divide anymore.</p>
10 <p>For example: The prime factorization of 16: Let's break it down into the smallest prime numbers until it can’t divide anymore.</p>
11 <p><strong>Step 1:</strong>16 ÷ 2 = 8</p>
11 <p><strong>Step 1:</strong>16 ÷ 2 = 8</p>
12 <p><strong>Step 2:</strong>Now, we divide 8, 8 ÷ 2 = 4</p>
12 <p><strong>Step 2:</strong>Now, we divide 8, 8 ÷ 2 = 4</p>
13 <p><strong>Step 3:</strong>Now take 4, divide the number with 2, 4 ÷ 2 = 2</p>
13 <p><strong>Step 3:</strong>Now take 4, divide the number with 2, 4 ÷ 2 = 2</p>
14 <p><strong>Step 4:</strong>At last, take 2. 2 ÷ 2 = 1 (since 2 is a prime number, and dividing by 2 gives 1)</p>
14 <p><strong>Step 4:</strong>At last, take 2. 2 ÷ 2 = 1 (since 2 is a prime number, and dividing by 2 gives 1)</p>
15 <p>Therefore, the prime factorization of 16 is: 16 = 24.</p>
15 <p>Therefore, the prime factorization of 16 is: 16 = 24.</p>
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