Question

10. a and b are two positive integers such that the least prime factor of a is 3 and the least prime factor of bis 5,
then find the least prime factor of (a + b).​

Answer 1

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.

Answer:-

• The least prime factor of a + b is 2

Explaination:-

•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

Answer 2

The answer is 2

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