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

(a) 2 (b) 3 (c) 5 (d) 8

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Solution

Least prime factor being 3 or 5 means that 2 is not a factor. So the numbers are both odd.

Odd + odd = even for sure. So for a+b we have 2 as a prime factor.

Since 2 is the smallest prime, answer is 2.

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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 (a) 2 (b) 3 (c) 5 (d) 8

Least prime factor being 3 or 5 means that 2 is not a factor. So the numbers are both odd. Odd + odd = even for sure. So for a+b we have 2 as a prime factor. Since 2 is the smallest prime, answer is 2. Read

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

(a) 2 (b) 3 (c) 5 (d) 8

Least prime factor being 3 or 5 means that 2 is not a factor. So the numbers are both odd.

Odd + odd = even for sure. So for a+b we have 2 as a prime factor.

Since 2 is the smallest prime, answer is 2.

Read