You are searching about Example Of A Solution In Math, today we will share with you article about Example Of A Solution In Math was compiled and edited by our team from many sources on the internet. Hope this article on the topic Example Of A Solution In Math is useful to you.
Prime Factorisation As a Technique For Efficient Problem Solving
Prime factorization simply means expressing a number as a product of its prime factors. For example, the prime factors of the number 12 are; 2x2x3. Note that all factors are prime factors, that is, a number that can only be divided by 1 and itself.
Most children encounter prime factorization in accelerated math programs around 4th and 5th grade.
Knowing this technique allows us to work on certain questions that require us to find the prime factors or roots of certain large numbers.
On a softer note, you can use the skills learned in prime factoring to help you identify the components of a large project.
I’ll give you two examples of questions where prime factorization will be useful.
Example A: Divide these four numbers, 15, 33, 35 and 77 into two groups so that the product of the numbers in each group is equal.
This question might confuse some people. However, if you are able to apply the prime factoring technique and factorize the four numbers into prime factors, you can easily get the answer.
Solution: 15= 3×5, 33=3×11, 35=5×7,77=7×11.
By looking at the prime factors of the four numbers, you can tell that 33 will not be in the same group as 77 since each group must contain the number “11” at least once.
So the two numbers are, Group 1: 15 & 77. Group 2: 33 & 35. Group 1: 15×77=3x5x7x11. Group 2: 3x5x7x11.
Example B: Find three consecutive even numbers whose product is 13728.
Applying the prime factorization gives us
13728=2x2x2x2x2x3x11x13
= 2x2x2x11x12x13
So the three even numbers are 22, 24 and 26.
That’s the beauty of prime factorization. It allows you to decompose large numbers into prime factors and easily identify the factors.
In addition to learning how to decompose the number into its components or prime factors, you can also transfer the skills you learned in prime factorization to handling major assignments. For example, you can use this technique to identify the “root” or critical factors of a large project. This allows you to plan the project more carefully because you can see how the different pieces fit together.
Video about Example Of A Solution In Math
You can see more content about Example Of A Solution In Math on our youtube channel: Click Here
Question about Example Of A Solution In Math
If you have any questions about Example Of A Solution In Math, please let us know, all your questions or suggestions will help us improve in the following articles!
The article Example Of A Solution In Math was compiled by me and my team from many sources. If you find the article Example Of A Solution In Math helpful to you, please support the team Like or Share!
Rate Articles Example Of A Solution In Math
Rate: 4-5 stars
Ratings: 9149
Views: 17356556
Search keywords Example Of A Solution In Math
Example Of A Solution In Math
way Example Of A Solution In Math
tutorial Example Of A Solution In Math
Example Of A Solution In Math free
#Prime #Factorisation #Technique #Efficient #Problem #Solving
Source: https://ezinearticles.com/?Prime-Factorisation-As-a-Technique-For-Efficient-Problem-Solving&id=1507524
