Question:

Find the factor of 330:

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Break the number into smallest prime factors step-by-step, dividing until only 1 is left.
Updated On: Aug 12, 2025
  • 2 × 4 × 5 × 11
  • 2 × 3 × 7 × 13
  • 2 × 3 × 5 × 13
  • 2 × 3 × 5 × 11
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The Correct Option is D

Solution and Explanation

Step 1: Prime factorisation of 330: 330 ÷ 2 = 165 → divisible by 2.
165 ÷ 3 = 55 → divisible by 3.
55 ÷ 5 = 11 → divisible by 5.
11 is prime.
Step 2: So, \( 330 = 2 \times 3 \times 5 \times 11 \).
Step 3: Elimination: - Option (a) includes 4, which is not prime and not part of prime factorisation.
- Option (b) has 7 and 13, which are not factors of 330.
- Option (c) includes 13, which is not a factor.
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