Question

If 3 is the least prime factor of p and 5 is the least prime factor of q, then the least prime factor of (p+q) is

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Answer 1

Answer:

Lets’s put the given information to use:

-> The least factor of p is 3. Let us assume that p is a product of 3 and x, where x is a prime number greater than 3. Say x is 5. Now:

p = x*3

p = 5*3

p = 15

Similarly for q,

q = x*5

q = 7*5

q = 35

Now, (p+q) becomes 35+15 => 50.

The least prime factor of 50 will 2, since 50 = 2*5*5.