If the least prime fator of a is 3 and least prime factor of b is 7 thdm least prime factor of (a+b) is 2 .Justify.​

2 thoughts on “If the least prime fator of a is 3 and least prime factor of b is 7 thdm least prime factor of (a+b) is 2 .Justify.​”

1. Answer:

   Step-by-step explanation:

   example for it..

   Prime factors of 100: 2, 2, 5, 5

   100 = 2 × 2 × 5 × 5

   = 22 × 52

   Factor tree:

   100

   | \

   50 2

   | \

   25 2

   | \

   5 5

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2. Hello…I hope my answer helps you…!
   

   Question: If the least prime fator of a is 3 and least prime factor of b is 7 thm least prime factor of (a+b) is 2 .Justify.​

   Answer: 2

   Solution:

   When 3 will be the least prime factor of some a number, then 2 will not be a factor of such a number and thus it can be concluded that the number is odd. Thus, a = 2n+1 for some n.
   

   
   

   Similarly when 7 will be the least prime factor of another b number, then again 2 will not be a factor of that number and it can be concluded that that number also is odd. Thus b = 2k – 1 for some k.
   

   
   

   Adding a +b –
   

   
   

   = a + b = 2n + 1 + 2k -1
   

   
   

   = a + b = 2 (n+k)
   

   
   

   It can not be figured out as to what are the real values of n and k are, and only 2 can be observed as a factor there. Thus, the least prime factor of (a+b) will be clearly 2.
   

   
   

   Hence a + b is even (i.e a multiple of 2). Thus the least prime factor of ‘a + b’ is 2.

   
   

   And also thanks for answering my question 🙂 I am not able to make u brainliest

   
   

   Thank you , Please mark my answer brainliest for more…Have a nice day ❤✨!

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