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1. how do you do the unique factorisation theorem? I don't get it ?? please help me
2. (Original post by mayu123)
so basically just divide the number using prime numbers then write it up.

for example using the "Unique factorisation theorem" as you put it on the number 200

5 is a prime number so i can use that

2 is a prime number too so i can use that

so now we count up how many times we had to divide the number 200 by prime numbers, we also need to include the last number which is 2 aswell

so we have 2 5s and 3 2s so we can write this in the form
3. (Original post by mayu123)
It's more commonly called the "fundamental theorem of arithmetic" - to prove this theorem, you need to make use of Euclid's Lemma. That is, .

Use strong induction to show that every integer greater than 1 is a product of primes. The proof is quite elementary.

The uniqueness part is slightly harder, assume an integer is a product of primes in two different ways: then we need to show that this is the same thing and .

Now use Euclid's Lemma on each and to show that (up to relabelling).
4. (Original post by thefatone)
so basically just divide the number using prime numbers then write it up.

for example using the "Unique factorisation theorem" as you put it on the number 200

5 is a prime number so i can use that

2 is a prime number too so i can use that

so now we count up how many times we had to divide the number 200 by prime numbers, we also need to include the last number which is 2 aswell

so we have 2 5s and 3 2s so we can write this in the form
thanks for the most detailed answer thanks but I still don't get the last part ow u got the answer.
5. (Original post by mayu123)
thanks for the most detailed answer thanks but I still don't get the last part ow u got the answer.
6. (Original post by mayu123)
thanks for the most detailed answer thanks but I still don't get the last part ow u got the answer.
(Original post by Zacken)
^^ this is exactly correct
200= 5x40
200= 5x5x8
200= 5x5x2x4
200= 5x5x2x2x2
200= 5²x2³
^^ write this one because it's in its simplest form
7. (Original post by thefatone)
^^ this is exactly correct
200= 5x40
200= 5x5x8
200= 5x5x2x4
200= 5x5x2x2x2
200= 5²x2³
^^ write this one because it's in its simplest form
okay ty fo rhelp
8. (Original post by Zacken)
ty for lot of detail made sense now

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