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What is the prime factorization of 44?\newlineChoices:\newline(A) 2×42 \times 4\newline(B) 2×22 \times 2\newline(C) 2×2×22 \times 2 \times 2\newline(D) 22

Full solution

Q. What is the prime factorization of 44?\newlineChoices:\newline(A) 2×42 \times 4\newline(B) 2×22 \times 2\newline(C) 2×2×22 \times 2 \times 2\newline(D) 22
  1. Check Prime Status: Step 11: Determine if 44 is a prime number. Since 44 can be divided evenly by 22, it is not a prime number.
  2. Find Prime Factors: Step 22: Find the prime factors of 44. 44 can be divided by 22, which is a prime number. 4÷2=24 \div 2 = 2.
  3. Check Quotient: Step 33: Check if the quotient, 22, is a prime number. Since 22 can only be divided by 11 and itself, it is a prime number.
  4. Conclude Factorization: Step 44: Conclude the prime factorization. Since 4=2×24 = 2 \times 2, and both factors are prime, the prime factorization of 44 is 2×22 \times 2.

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