The smallest number with four different prime factors is 2 × 3 × 5 × 7 = 210. Using the smallest primes ensures the minimum product that fulfills this condition.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
To determine the smallest number with four distinct prime factors, use the smallest primes: 2,3,5, and 7. Their product, 2 × 3 × 5 × 7 = 210, is the minimal result. This ensures that all four factors are primes, and no other smaller combination meets the criteria. Including additional primes or larger primes would result in a larger product, confirming 210 as the smallest valid number.
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