Question 23 of 36beginner🔧 ApplyNumerical2 marks

The prime factorisation of a number has one 2, two 3s, and one 11. What is the number?

Correct Answer

Given: Prime factorisation has one 2, two 3s, and one 11.

Prime factorisation: 2×32 \times 3 × 3×113 \times 11

Calculation: 2×32 \times 3 = 6 6×36 \times 3 = 18 18×1118 \times 11 = 198

Answer: The number is 198.

Exercise: Figure it Out (Section 4) | Q: 2 | (Page Page 14)
For More Understanding

Explanation

The prime factorisation has one 2, two 3s, and one 11. So the number = 2×32 \times 3 × 3×113 \times 11 = 2×92 \times 9 × 11 = 18×1118 \times 11 = 198.

Solution Steps

  1. Step 1: The prime factorisation is 2×32 \times 3 × 3×113 \times 11.

  2. Step 2: Multiply: 2×32 \times 3 = 6

  3. Step 3: 6×36 \times 3 = 18

  4. Step 4: 18×1118 \times 11 = 198

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