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Question

Any number with exactly four factors is a product of two distinct primes.


A

True

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B

False

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Solution

The correct option is B

False


False. For example, 8 has four factors - 1, 2, 4, and 8. But 8 cannot be expressed as a product of two distinct primes.
If a number has exactly four factors, then either the number is a product of two distinct primes or the number is a cube of a prime number. In the above case we have 8 which is a cube of 2.


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