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The smallest composite number is____

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To find the smallest composite number, we need to understand what a composite number is. A composite number is defined as a number that has more than two distinct positive factors. This means that it can be divided evenly by numbers other than 1 and itself. Let's go through the steps to identify the smallest composite number: ### Step 1: Understand the definition of composite numbers - A composite number has more than two factors. - The factors of a number are the numbers that can divide it evenly without leaving a remainder. ### Step 2: Identify the smallest numbers and their factors - Let's look at the first few natural numbers: - **1**: Factors are {1} (not composite) - **2**: Factors are {1, 2} (not composite, it is a prime number) - **3**: Factors are {1, 3} (not composite, it is a prime number) - **4**: Factors are {1, 2, 4} (this has three factors, so it is composite) ### Step 3: Confirm that 4 is the smallest composite number - Since 4 is the first number that has more than two factors (1, 2, and 4), it is the smallest composite number. ### Conclusion The smallest composite number is **4**. ---
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Fill in the blanks: The square of an even number is ………

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Fill in the blanks : (a) A number which has only two factors is called a ______. (b) A number which has more than two factors is called a ______. (c) 1 is neither ______ nor ______. (d) The smallest prime number is ______. (e) The smallest composite number is _____. (f) The smallest even number is ______.

The LCM of smallest two digit composite number and smallest composite number is

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MTG IIT JEE FOUNDATION-PLAYING WITH NUMBERS-NCERT SECTION (EXERCISE 3.2)
  1. Express the following as the sum of two odd primes. 36

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  2. Express the following as the sum of two odd primes. 24

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  3. Express the following as the sum of two odd primes. 18

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  4. Give three pairs of prime numbers whose difference is 2. [Remark : ...

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  5. Which of the following numbers are prime? 23

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  6. Which of the following numbers are prime? 51

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  7. Which of the following numbers are prime? 37

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  8. Which of the following numbers are prime? 26

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  9. Write seven consecutive composite numbers less than 100 so that the...

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  10. Express each of the following numbers as the sum of three odd primes: ...

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  11. Express each of the following numbers as the sum of three odd primes: ...

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  12. Express each of the following numbers as the sum of three odd primes: ...

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  13. Express each of the following numbers as the sum of three odd primes: ...

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  14. Write five pairs of prime numbers less than 20 whose sum is divisib...

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  15. Fill in the blanks : (a) A number which has only two factors is ...

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  16. Fill in the blanks : (a) A number which has only two factors is ...

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  17. Fill in the blanks: 1 is neither nor

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  18. Fill in the blanks: The smallest prime number is

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  19. Fill in the blanks: The smallest composite number is

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  20. Fill in the blanks: The smallest even number is

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