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What is the prime factorization of 1515?\newlineChoices:\newline(A) 3×53 \times 5\newline(B) 55\newline(C) 3×3×53 \times 3 \times 5\newline(D) 1515

Full solution

Q. What is the prime factorization of 1515?\newlineChoices:\newline(A) 3×53 \times 5\newline(B) 55\newline(C) 3×3×53 \times 3 \times 5\newline(D) 1515
  1. Identify Prime Number: Identify if 1515 is a prime number by checking divisibility by prime numbers smaller than its square root. 1515 is divisible by 33 (15÷3=515 \div 3 = 5).
  2. Check Quotient: Check if the quotient, 55, is a prime number. Since 55 is only divisible by 11 and itself, it is a prime number.
  3. Combine Prime Factors: Combine the prime factors obtained. The prime factorization of 1515 is 33 multiplied by 55.

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