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Question

Which of the following numbers do not have exactly 6 factors?

A
20
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B
12
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C
18
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D
24
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Solution

The correct option is D 24
20=2×2×5
2 x 2 = 4 has 3 factors 1, 2 and 4
5 has two factors 1 and 5
Total factors of 20 = 3 x 2 = 6

12=2×2×3
2 x 2 = 4 has 3 factors 1, 2 and 4
3 has two factors 1 and 3
Total factors of 12 = 3 x 2 = 6

18=2×3×3
2 has two factors 1 and 2
3 x 3 = 9 has 3 factors 1, 3 and 9
Total factors of 18 = 3 x 2 = 6

24=2×2×2×3
2 x 2 x 2 = 8 has 4 factors 1, 2, 4 and 8
3 has 2 factors 1 and 3
Total factors of 24 = 4 x 2 = 8

So, The number which do not have exactly 6 factors = 24

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