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1 a and b are two positive integers such that the least primefactor of Îą is 3 and the least prime factor of bis 5. Thennd th lnoth of its shadovwcalculate the least prime factor of (a +b12

Answer»

Given :, a is a positive integer and 3 is the least prime factor of a. 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 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.So, the least prime factor of a + b is 2



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