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2026-01-01
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2026-02-28
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<p>207 Learners</p>
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<p>INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034</p>
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<p>The numbers that have only two factors, which are 1 and itself, are called prime numbers. Prime numbers are essential in various fields, including encryption, computer algorithms, and barcode generation. In this topic, we will be discussing whether 1404 is a prime number or not.</p>
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<p>SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)</p>
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<h2>Is 1404 a Prime Number?</h2>
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<p>USA - 251, Little Falls Drive, Wilmington, Delaware 19808</p>
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<p>There are two<a>types of numbers</a>, mostly -</p>
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<p>VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City</p>
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<p>Prime numbers and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>
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<p>VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam</p>
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<p>A<a>prime number</a>is a<a>natural number</a>that is divisible only by 1 and itself.</p>
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<p>UAE - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates</p>
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<p>For example, 3 is a prime number because it is divisible by 1 and itself.</p>
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<p>UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom</p>
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<p>A composite number is a positive number that is divisible by more than two numbers.</p>
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<p>For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.</p>
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<p>Prime numbers follow a few properties like:</p>
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<ul><li>Prime numbers are positive numbers always<a>greater than</a>1. </li>
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<li>2 is the only even prime number. </li>
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<li>They have only two factors: 1 and the number itself. </li>
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<li>Any two distinct prime numbers are<a>co-prime numbers</a>because they have only one common factor, which is 1. </li>
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<li>As 1404 has more than two factors, it is not a prime number.</li>
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</ul><h2>Why is 1404 Not a Prime Number?</h2>
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<p>The characteristic<a>of</a>a prime number is that it has only two divisors: 1 and itself. Since 1404 has more than two factors, it is not a prime number. Several methods are used to distinguish between prime and composite numbers. A few methods are:</p>
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<ul><li>Counting Divisors Method </li>
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<li>Divisibility Test </li>
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<li>Prime Number Chart </li>
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<li>Prime Factorization</li>
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</ul><h3>Using the Counting Divisors Method</h3>
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<p>The method of counting the number of divisors to categorize 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 1404 is prime or composite.</p>
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<p><strong>Step 1:</strong>All numbers are divisible by 1 and itself.</p>
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<p><strong>Step 2:</strong>Divide 1404 by 2. It is divisible by 2, so 2 is a factor of 1404.</p>
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<p><strong>Step 3:</strong>Divide 1404 by 3. It is divisible by 3, so 3 is a factor of 1404.</p>
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<p><strong>Step 4:</strong>You can simplify checking divisors up to 1404 by finding the root value. We then need to only check divisors up to the root value.</p>
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<p><strong>Step 5:</strong>When we divide 1404 by 2, 3, and other small numbers, it is divisible by 2, 3, 4, 6, and so on.</p>
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<p>Since 1404 has more than 2 divisors, it is a composite number.</p>
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<h3>Explore Our Programs</h3>
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<p>No Courses Available</p>
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<h3>Using the Divisibility Test Method</h3>
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<p>We use a<a>set</a>of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.</p>
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<p><strong>Divisibility by 2:</strong>The number in the ones'<a>place value</a>is 4. Four is an<a>even number</a>, which means that 1404 is divisible by 2.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 1404 is 1 + 4 + 0 + 4 = 9. Since 9 is divisible by 3, 1404 is also divisible by 3.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 4. Therefore, 1404 is not divisible by 5.</p>
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<p><strong>Divisibility by 7:</strong>A more complex rule can be checked, but for simplicity, divide 1404 by 7 to see if it is divisible.</p>
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<p><strong>Divisibility by 11:</strong>Check the alternating sum of digits, which is (1 + 0) - (4 + 4) = 1 - 8 = -7. Since -7 is not divisible by 11, 1404 is not divisible by 11.</p>
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<p>Since 1404 is divisible by<a>multiple</a>numbers, it has more than two factors. Therefore, it is a composite number.</p>
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<h3>Using Prime Number Chart</h3>
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<p>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.</p>
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<p><strong>Step 1:</strong>Write numbers up to a specific limit in rows and columns.</p>
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<p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>
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<p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the multiples of 2.</p>
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<p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>
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<p><strong>Step 5:</strong>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.</p>
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<p>Since 1404 is not present in the list of prime numbers, it is a composite number.</p>
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<h3>Using the Prime Factorization Method</h3>
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<p>Prime factorization is a process of breaking down a number into<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>
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<p><strong>Step 1:</strong>We can write 1404 as 2 × 702.</p>
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<p><strong>Step 2:</strong>In 2 × 702, 702 is a composite number. Further, break 702 into 2 × 351.</p>
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<p><strong>Step 3:</strong>Further break 351 into 3 × 117.</p>
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<p><strong>Step 4:</strong>Break 117 into 3 × 39.</p>
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<p><strong>Step 5:</strong>Break 39 into 3 × 13.</p>
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<p>Hence, the prime factorization of 1404 is 2 × 2 × 3 × 3 × 3 × 13.</p>
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<h2>Common Mistakes to Avoid When Determining if 1404 is Not a Prime Number</h2>
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<p>People might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made.</p>
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<h2>FAQ on is 1404 a Prime Number?</h2>
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<h3>1.Is 1404 a perfect square?</h3>
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<h3>2.What is the sum of the divisors of 1404?</h3>
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<p>The sum of the divisors of 1404 is not straightforwardly calculated here but involves adding all positive divisors of the number.</p>
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<h3>3.What are the factors of 1404?</h3>
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<p>1404 is divisible by 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, and 1404, making these numbers the factors.</p>
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<h3>4.What are the closest prime numbers to 1404?</h3>
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<p>1409 and 1423 are the closest prime numbers to 1404.</p>
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<h3>5.What is the prime factorization of 1404?</h3>
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<p>The prime factorization of 1404 is 2 × 2 × 3 × 3 × 3 × 13.</p>
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<h2>Important Glossaries for "Is 1404 a Prime Number"</h2>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 1404 is a composite number because it has multiple divisors beyond 1 and itself.</li>
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</ul><ul><li><strong>Prime numbers:</strong>Numbers greater than 1 that are only divisible by 1 and themselves. For example, 3 is a prime number.</li>
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</ul><ul><li><strong>Divisibility:</strong>A number is divisible by another if it can be divided without leaving a remainder. For example, 1404 is divisible by 2.</li>
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</ul><ul><li><strong>Prime factorization:</strong>Breaking down a number into a product of its prime factors. For example, the prime factorization of 1404 is 2 × 2 × 3 × 3 × 3 × 13.</li>
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</ul><ul><li><strong>Factors:</strong>Numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 1404 include 1, 2, 3, and so on.</li>
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</ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<p>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.</p>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>