Break a positive whole number into its prime factors.
Fraction arithmetic, decimal-to-fraction conversion, ratios and proportions.
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360 = 2³ × 3² × 5.
Break a positive whole number into its prime factors. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
For 360, repeated division by the smallest primes gives 360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5. Every factor listed is prime; multiplying them recovers 360.
Scope: 1 has no prime factorization, and the tool takes a positive whole number of at least 2. Prime factors are useful for simplifying fractions and finding the greatest common factor or least common multiple.
Break a positive whole number into its prime factors.
Repeatedly divide by the smallest possible prime factor until the remaining quotient is 1.
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