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  • A and b are two positive integers such that the least prime factor of a is 3 and the least prime factor of b is 5 . Then find the least prime factor of (a+b)

A and b are two positive integers such that the least prime factor of a is 3 and the least prime factor of b is 5 . Then find the least prime factor of (a+b)

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Given that, a is a positive integer and 3 is least prime factor of a.

Also, b is a positive integer and 5 is least prime factor of b.

Since least prime factor of a is 3, it implies that 'a' is an odd number  

∵ if a is even then 2 is least prime factor of a.

Similarly b is also an odd number.

Now, it is known that sum of two odd numbers is an even number.

Hence, a + b will be an even number.

∴ The least prime factor of  a + b is 2

Posted by

Deependra Verma

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