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If a,b belongs to N and R is "a is a divisor of b", then R is a relation on N.

• Given,
• a,b belongs to N
• R is "a divisor of b"
• Let,
• A={1,3,5}
• B={6,8,10}
• Now,
• A×B= {(1,8), (3,6), (5,10)}
• where a = 1,3,5, b = 6,8,10 ∈ N
• and
• A×B ∈N
• and R {a is a divisor of b}
• Hence, it is proved that R is a relation on N