Q. Explain why any number ending in 0 cannot be prime?


Q. Explain why any number ending in 4 cannot be prime?


Prime numbers are fairly straightforward, what we will do now is take a look at another mathematical concept involving prime, that is prime factorisation. Prime factorisation is the means by which we write down numbers which are not prime, as a product of any prime factors the number possesses, usually this is done in what is called an "index tree" which is a bit like a family tree descending chart. At the top of the tree is written the number that you are going to "prime factorise" and then descending down the tree left and right will be the prime factors that that number possesses. Let's take a look at a couple of examples to make sure that we understand what this is actually saying to us.


Q. Write down the number given as a product of its prime factors - 68


Q. Write down the number 325 as a product of its prime factors.


Q. Write down the number 677 as a product of its prime factors.


Q. Write down the number 679 as a product of its prime factors.


Q. Write down the number 55,296 as a product of its prime factors.



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