34. FUNDAMENTAL THEOREM OF ARITHMETIC
 
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Statement
Any positive integer can be expressed as a product of primes, repeated if necessary.

This factorization is unique.


EXAMPLES:
1) 30 = 2 x 3 x 5
2) 100 = 22 x 52
3) 3600 = 24 x 32 x 52

The theorem can, formally, be stated as:

If N is any positive integer, p's are distinct primes and a's are non-negative integers;
then every number N, can be written as



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