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Real Numbers - Fundamental theorem of arithmetic maths and mathematics.

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Real Numbers - Fundamental theorem of arithmetic grade x maths.
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Real Numbers - Fundamental theorem of arithmetic maths and mathematics.

  1. 1. Decimal Expansion Of Rational numbers Euclid’s Division Algorithm Proofs Based On Irrational Numbers
  2. 2. Chapter : Real Numbers Website: www.letstute.com
  3. 3. 7 10829 7 1547 13 221 17 2 8624 2 4312 2 2156 2 1078 7 539 7 77 11 10829 = 72 × 13 × 17 Fundamental TheoremOf Arithmetic Chapter : Real Numbers Website: www.letstute.com 8624 = 24 × 72 × 11 10829 = 7 × 𝟕 × 13 × 17 8624 = 2 × 𝟐 × 𝟐 × 𝟐 ×7× 𝟕 × 11
  4. 4. Fundamental TheoremOf Arithmetic Chapter : Real Numbers Website: www.letstute.com Common prime factor Least exponent 7 2 HCF = 72 = 49 Common prime factor Greatest exponent 7 2 Uncommon prime factors Greatest exponent 2 11 13 17 4 1 1 1
  5. 5. LCM = 72 × 24 × 11 × 13 × 17 Chapter : Real Numbers Website: www.letstute.com Fundamental TheoremOf Arithmetic = 16 × 49 × 11 × 13 × 17 = 1905904 LCM = 1905904
  6. 6. HOWTO SOLVE  FACTORIZE THE GIVEN NUMBERS.  TO FIND HCF: COLLECT THE COMMON PRIME FACTORS WITH THE LEAST EXPONENT.  TO FIND LCM: COLLECT THE COMMON AND UNCOMMON PRIME FACTORS WITH THE GREATEST EXPONENT. Chapter : Real Numbers Website: www.letstute.com

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