The Fundamental Theorem of Arithmetic
2.3
Theorem. Every integer greater than 1 can be written uniquely as the
product of primes, where the prime factors are written in order of
increasing size.
Examples of prime factorizations:
10 =
2*5
19 =
19
35 =
5*7
100 =
2*2*5*5 = 22*52
999 = 3*3*3*37 = 33*37
1024 = 2*2*2*2*2*2*2*2*2*2 = 210
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