Question

MCQ - 1 Mark Each
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, the least prime factor of (a + b) is
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Answer 1

Answer:

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

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

Since least prime factor of a is 3, it means that a is an odd number.

So, if a is even then 2 is the 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.

therefore 2 is least prime factor of (a+b)

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