Question:

Find the factor of 1122:

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Always factorise by starting with the smallest prime number and work upward. Stop when the quotient is prime.
Updated On: Aug 12, 2025
  • 3 × 9 × 17 × 2
  • 3 × 11 × 17 × 2
  • 9 × 9 × 17 × 2
  • 3 × 11 × 17 × 3
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The Correct Option is B

Solution and Explanation

Step 1: Start dividing 1122 by smallest prime factors: 1122 ÷ 2 = 561 → divisible by 2.
561 ÷ 3 = 187 → divisible by 3.
187 ÷ 11 = 17 → divisible by 11.
17 is prime.
Step 2: So \( 1122 = 2 \times 3 \times 11 \times 17 \).
Step 3: Elimination:
- Option (a) includes 9, which is not prime and not part of factorisation.
- Option (c) includes 9 twice, incorrect.
- Option (d) repeats 3 twice, making product too large.
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