English, asked by moutrisagupta, 2 months ago

फाइंड द प्राइम फैक्टर्स ऑफ़ ईच ऑफ द फॉलोइंग बाय प्राइम फैक्टराइजेशन 646 how to solve​

Answers

Answered by Manaswini902
0

Answer: The prime factorization of 646 is 2¹ × 17¹ × 19¹

Explanation:

  1. The number 646 is composite and therefore it will have prime factors.
  2. Divide the number 646 with the smallest prime factor, 2 until it gives non-zero remainder.
  3. ⇒ 646 ÷ 2 = 323
  4. Now divide the number 323 by the next smallest prime factor.
  5. 323 is divisible by 17 only.
  6. ⇒ 323 ÷ 17 = 19
  7. 19 is the prime number and cannot be divided by any other prime.
  8. Thus 646 can be expressed as product of prime numbers 2, 17, 19.
  9. ∴ 646 = 2¹ × 17¹ × 19¹
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