WBCS.LIVE practice question

Find the factors of 330

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 2 Ɨ 4 Ɨ 5 Ɨ 11
  2. 2 Ɨ 3 Ɨ 7 Ɨ 13
  3. 2 Ɨ 3 Ɨ 5 Ɨ 13
  4. 2 Ɨ 3 Ɨ 5 Ɨ 11

Correct answer and explanation

Correct answer: 2 Ɨ 3 Ɨ 5 Ɨ 11

Explanation: āœ… Correct Answer: D) 2 Ɨ 3 Ɨ 5 Ɨ 11 šŸ“š Explanation: Step 1: To find the factors of 330, we perform prime factorization by dividing the number by the smallest possible prime numbers sequentially. $$330 \div 2 = 165$$ Step 2: Divide the resulting number by the next smallest prime factor, which is 3: $$165 \div 3 = 55$$ Step 3: Divide 55 by its smallest prime factor, which is 5, to get the final prime quotient: $$55 \div 5 = 11$$ Therefore, the complete prime factor expression for 330 is exactly $2 \times 3 \times 5 \times 11$.