if least prime factor of p is 3 and least prime factor of q is 5, then what is least prime factor of ( p+ q)
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Answer:
The least prime factor of (p + q) = 2
Step-by-step explanation:
The least factor of p is 3
Let x is any prime number greater than 3 say 5
Then the product of 3 and x can be assumed as :
⇒ p = x × 3
⇒ p = 5 × 3
⇒ p = 15
Similarly, q = x × 5
⇒ q = 7 × 5
⇒ q = 35
Now, p + q = 15 + 35
= 50
Prime factors of 50 = 2 × 5 × 5
Hence, The least prime factor of (p + q) = 2
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