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Question
If the least prime factors of two positive integers a and b are 5 and 13 respectively, then the least prime factor of a + b, is ______.
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Solution
If the least prime factors of two positive integers a and b are 5 and 13 respectively, then the least prime factor of a + b, is 2.
Explanation:
If the least prime factor of a is 5 and of b is 13, then both a and b are odd, so a + b is even and divisible by 2; hence its least prime factor is 2.
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