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

Try another example


Help us improve the example. If you find a mistake, let us know. Thank you!







You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsnumbersGrade of the word problem

Related math problems and questions: