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If a, b, c, d are distinct prime numbers with an as smallest prime then a * b * c * d is a ___________

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Solution

The product of a, b, c, d, which are distinct prime numbers with a as the smallest prime, is a composite number.

Here's why:

  1. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The smallest prime number is 2.

  2. If a, b, c, and d are distinct prime numbers, it means they are different from each other.

  3. When you multiply any two prime numbers, the result is a composite number. A composite number is a positive integer that has at least one positive divisor other than one or itself.

  4. Therefore, the product of a, b, c, and d (a * b * c * d) is a composite number because it has more than two distinct positive divisors.

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