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The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number?
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The factorisation of number may not be unique but it prime factorisati...
Prime Factorisation of the Smallest Three-Digit Number
Factors of a number are the numbers that can be multiplied together to get that number. Factorisation of a number may not be unique because a number can be expressed as a product of different combinations of its factors. However, the prime factorisation of a number is unique because every composite number can be expressed as a product of prime numbers in only one way.
Factorisation of the Smallest Three-Digit Number (100)
- The smallest three-digit number is 100.
- Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- One possible factorisation of 100 is 2 x 2 x 5 x 5.
- Another possible factorisation of 100 is 4 x 5 x 5.
- Both factorisations are valid since they result in 100.
Prime Factorisation of 100
- Prime factorisation of 100 involves expressing 100 as a product of prime numbers.
- The prime factors of 100 are 2 and 5.
- Prime factorisation of 100 is 2 x 2 x 5 x 5.
- This prime factorisation is unique because the prime factors are 2 and 5, and they are prime numbers.
Therefore, the factorisation of a number may not be unique, but the prime factorisation of a number is unique. The prime factorisation of the smallest three-digit number, 100, is 2 x 2 x 5 x 5.
Factors of a number are the numbers that can be multiplied together to get that number. Factorisation of a number may not be unique because a number can be expressed as a product of different combinations of its factors. However, the prime factorisation of a number is unique because every composite number can be expressed as a product of prime numbers in only one way.
Factorisation of the Smallest Three-Digit Number (100)
- The smallest three-digit number is 100.
- Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- One possible factorisation of 100 is 2 x 2 x 5 x 5.
- Another possible factorisation of 100 is 4 x 5 x 5.
- Both factorisations are valid since they result in 100.
Prime Factorisation of 100
- Prime factorisation of 100 involves expressing 100 as a product of prime numbers.
- The prime factors of 100 are 2 and 5.
- Prime factorisation of 100 is 2 x 2 x 5 x 5.
- This prime factorisation is unique because the prime factors are 2 and 5, and they are prime numbers.
Therefore, the factorisation of a number may not be unique, but the prime factorisation of a number is unique. The prime factorisation of the smallest three-digit number, 100, is 2 x 2 x 5 x 5.
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The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number?
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The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number?.
The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The factorisation of number may not be unique but it prime factorisation is unique justify the statement by showing the factorisation of smallest three digit number?.
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