Definition of fundamental theorem of arithmetic for 10th
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Every composite number can be expressed (factorised ) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.
This theorem also says that the prime factorisation of a natural number is unique, except for the order of its factors.
For example 20 can be expressed as 2 × 2 × 5
Using this theorem the LCM and HCF of the given pair of positive integers can be calculated.
LCM = Product of the greatest power of each prime factor, involved in the numbers.
HCF = Product of the smallest power of each common prime factor in the numbers.
This theorem also says that the prime factorisation of a natural number is unique, except for the order of its factors.
For example 20 can be expressed as 2 × 2 × 5
Using this theorem the LCM and HCF of the given pair of positive integers can be calculated.
LCM = Product of the greatest power of each prime factor, involved in the numbers.
HCF = Product of the smallest power of each common prime factor in the numbers.
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Step-by-step explanation:
Fundamental Theorem of Arithmetic
Any integer greater than 1 is either a prime number, or can be written as a unique product of prime numbers
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