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 HCF & LCM 50 Flashcards |
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True or False: The number 1 is considered a prime number. |
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False. The number 1 is neither prime nor composite.  |
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Fill in the blank: The only even prime number is ___. |
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2  |
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What defines a composite number? |
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A composite number can be expressed as a product of factors other than 1 and itself. |
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What are twin primes? Provide an example. |
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Twin primes are two prime numbers that differ by 2, such as (3, 5) or (11, 13). |
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Fill in the blank: The prime factorization of 54 is ___. |
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2 × 3 × 3 × 3  |
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What is the highest common factor (H.C.F.) of 15 and 20? |
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5  |
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True or False: All prime numbers are odd. |
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False. The number 2 is an even prime number. |
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Fill in the blank: The L.C.M. of 12 and 18 is ___. |
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36 |
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What property does the H.C.F. of two numbers have? |
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The H.C.F. cannot be greater than either of the numbers.  |
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What is a prime triplet? Give an example. |
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A prime triplet is a set of three prime numbers differing by 2, such as (3, 5, 7).  |
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Fill in the blank: A pair of numbers that share no common factors other than 1 are called ___. |
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Coprime numbers |
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How do you determine if a number is divisible by 3? |
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A number is divisible by 3 if the sum of its digits is divisible by 3. |
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What is the L.C.M. of 4 and 10? |
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20 |
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Fill in the blank: The first three prime numbers are ___, ___, and ___. |
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2, 3, 5 |
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True or False: The product of two co-prime numbers is always prime. |
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False. The product of two co-prime numbers is not necessarily prime. |
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What is the prime factorization method used for? |
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It is used to find the H.C.F. and L.C.M. of numbers by expressing them as products of prime factors. |
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Fill in the blank: The common multiples of 8 and 12 start with ___. |
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24 |
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How can you check if a number is divisible by 5? |
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A number is divisible by 5 if it ends in 0 or 5. |
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What is the H.C.F. of 28 and 72? |
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4 |
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Fill in the blank: The prime factorization of 96 is ___. |
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2 × 2 × 2 × 2 × 3  |
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What is the relationship between the H.C.F. and L.C.M. of two numbers? |
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The product of the two numbers equals the product of their H.C.F. and L.C.M. |
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Fill in the blank: A number is divisible by 4 if the number formed by its last two digits is ___. |
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Divisible by 4 |
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What defines an even number? |
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An even number is any integer that is divisible by 2. |
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What is the highest common factor of 18, 45, and 63? |
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9 |
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True or False: The L.C.M. of two numbers is always less than or equal to the product of the numbers. |
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True. |
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Completed! Keep practicing to master all of them. |
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