Math, asked by gagansachdeva, 1 year ago

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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Answered by 9958519311
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Answered by throwdolbeau
71

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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