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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.continue

This page provides a brief overview of prime factorization of numbers.



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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`?factors 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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