Friday, August 3, 2012

Prime Factorisation As a Technique For effective problem Solving

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Prime factorisation simply means to express a whole as a stock of its prime factors For example, the prime factors of the whole 12 are; 2x2x3. Consideration that all the factors are prime factors that is whole that can only be divided by 1 and itself.

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How is Prime Factorisation As a Technique For effective problem Solving

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Most kids encounter prime factorisation in accelerated math programmes colse to 4th-5th grade.

Knowing this technique allows us to work on sure questions which requires us to find the prime factors or roots of sure large numbers.

On a softer note, you can use the skills learnt in prime factorisation to help you recognize the component parts of a large project.

I will contribute you with two examples of questions in which prime factorisation will come in handy.

Example A: Divide these four numbers, 15,33,35 and 77 into two groups so that the stock of the numbers in each group are equal.

This inquire might stump some people. However, i you are able to apply the technique of prime factorisation and break all the four numbers into its prime factors you can as a matter of fact get the answer.

Solution: 15= 3x5, 33=3x11, 35=5x7,77=7x11.

Looking the prime factors of all the four numbers, you can tell that 33 is not going to be in the same group as 77 since each group must comprise the whole '11' at least once.

Thus the two whole are, Group 1: 15 & 77. Group 2: 33 & 35. Group 1: 15x77=3x5x7x11. Group 2: 3x5x7x11.

Example B: Find three consecutive even numbers whose stock is 13728.

Applying prime factorisation gives us

13728=2x2x2x2x2x3x11x13

= 2x2x2x11x12x13

Thus, the three even numbers are 22, 24 & 26.

This is the charm of prime factorisation It allows you to break down large numbers into its prime factors and as a matter of fact recognize the factors.

Besides learning how to break the whole into its component parts or prime factors you can also transfer the skills you have learnt in prime factorisation to managing major assignments. For instance, you can use this technique to recognize the 'root' or significant factors of a big project. This enables you to plan the task more determined as you can see how the personel parts fit together.

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