Natural Number with Divisors

Which natural number less than 100 has the largest number of divisors?

Final Answer:

n1 =  96
n2 =  60
n3 =  72
n4 =  84
n5 =  90

Step-by-step explanation:

n1​=25⋅ 3=96 d: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
n2​=22⋅ 3⋅ 5=60 d: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
n3​=23⋅ 32=72 d: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
n4​=22⋅ 3⋅ 7=84 d: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
n5​=2⋅ 32⋅ 5=90 d: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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