Question

if a and b are two positive integer such that the least prime factor of a is 3 and the least prime factor of b is 5 then calculate the least prime factor of (a+b)

Answer 1

given thet a and b are two positive integers.

a is 3 least prime factor.

b is 5 least prime factor.

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

similary b is also a odd number.

Now,

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

HENCE,

(a+b) will be an even number.

so

least prime factor of (a+b) is

=> a+b = 2
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