Exercise 543Number theory › PrimesHigh schoolAdded 3 Nov 2026
The fundamental theorem of arithmetic
#fundamental theorem#factorization#uniqueness
Statement
State the fundamental theorem of arithmetic and factor into primes.
Hint
Divide out the smallest prime repeatedly.
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Solution
Statement. Every integer can be written uniquely as a product of primes (up to order).
Factoring .
Check. , , .
Conclusion. .