Question

If the least Prime factor of a is 5 and the least Prime factor of b is 13 then what is the least Prime factor of a+b​

Answer 1

Answer:

2

Step-by-step explanation:

Since 5+13=18. The least prime factor of a+b has to be 2; unless a+b is a prime number greater than 2.

Suppose a+b is a prime number greater than 2. Then a+b must be an odd number. So one of a or b must be an even number. Suppose then that a is even. Then the least prime factor of a is 2; which is not 5 or 13. So a cannot be an even number. Nor can b be an even number. Hence a+b can not be a prime number greater than 2 if the least prime factor of a is 5 and b is 13.

Hence the answer is 2.

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Answer 2

Answer:

18

Step-by-step explanation:

The least prime factor of a is 5

The least prime factor of b is 13

The least prime factor of a+b=required

You take thier least prime factors you add them

5+13=18

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