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what is a fundamental theorem of arithmatic

Posted by Shushant Kumar 6 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 8 months ago

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.

2Thank You

Mahima Singh 6 years, 8 months ago

Every composite number is expressed as a product of prime and this factorisation is unique apart from the order at which the prime factors occur...

1Thank You

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Posted by Kanika . 1 month, 4 weeks ago

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Posted by Hari Anand 7 months ago

CBSE > Class 10 > Mathematics