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Question
Find the cube root of 10648 by prime factorisation method. [2 Marks]
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Solution
10648 = 2×2×2×11×11×11 [0.5 Mark]
By grouping the factors in triplets of equal factors, 10648 = (2×2×2)×(11×11×11) [0.5 Mark]
Here, 10648 can be grouped into triplets of equal factors,
∴ 10648 = 2 ×11 = 22 [0.5 Mark]
Hence, 22 is cube root of 10648. [0.5 Mark]
By grouping the factors in triplets of equal factors, 10648 = (2×2×2)×(11×11×11) [0.5 Mark]
Here, 10648 can be grouped into triplets of equal factors,
∴ 10648 = 2 ×11 = 22 [0.5 Mark]
Hence, 22 is cube root of 10648. [0.5 Mark]
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