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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsDivisibility in Whole NumbersFactors, Multiples, Prime Factorization

### Prime factorization

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What are the factors of 24?

• 1,2,3,4,6,8,12,24
• 1,2,3,4,6,8,12,24
• 2,12

The answer is "1,2,3,4,6,8,12,24"

Consider the number 24. Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. In which of the following ways, the number is expressed as a product of some of the factors?

• 4xx6
• 2xx4xx3
• 3xx8
• all the above and more like 2xx12
• all the above and more like 2xx12

The answer is "all the above and more".

Which of the following is a product of prime numbers?

• 2xx12
• 2xx2xx6
• 2xx2xx2xx3
• 2xx2xx2xx3
• 3xx8

The answer is "2xx2xx2xx3". The number is represented as product of prime factors. This is called prime factorization.

Prime Factorization : A number represented as product of prime numbers.

Which of the following is the prime factorization of 264? A procedure is illustrated in the figure.

• 2xx2xx2xx3
• 2xx2xx2xx3xx11
• 2xx2xx2xx3xx11

The answer is "product of 2xx2xx2xx3xx11".

Which of the following is the prime factorization of 17?

• 1xx17
• 17
• 17

The answer is "17".

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