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PrimeLab
Every number's unique breakdown into primes.
Every integer greater than 1 has exactly one prime factorization — no matter how you break a number down, you always land on the same set of primes, just possibly in a different order.
When a prime repeats (like 84 = 2 × 2 × 3 × 7), grouping the repeats into a power — 2² × 3 × 7 — is the standard way factorizations are written in textbooks and used to quickly find a number's GCD, LCM, or total divisor count.
Prime factorization
2^2 × 3 × 7
What you entered
Divide repeatedly by the smallest possible prime
n = 84= 2 × 2 × 3 × 7Group repeated primes into exponents
2 × 2 × 3 × 7= 2^2 × 3 × 7Result
Prime factorization: 2^2 × 3 × 7
84 = 2^2 × 3 × 7 — this is its unique prime factorization (every whole number > 1 has exactly one).