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Q: What number between 40 and 60 has exactly three factors?

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A number has exactly three factors if and only if it is the square of a prime number.

The number 9: factors are 9, 3, and 1.

A square of any prime number, p has exactly three factors. They are 1, p and p^2.

The smallest number that has exactly three factors is 4.

30

A prime square.

There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.

625

4? the factors of 4 are 1,4 and 2

Numbers with three factors are squares of primes: 4, 9, 25

By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

The square of any prime number has exactly three factors: 22, 32, 52, etc.

9 The three factors are 1, 3, and 9. 9 The three factors are 1, 3, and 9.

49

8, 2*2*2

169

9409.

105

I belive it is 4. The factors of 4 are 1,4, and 2.

There are three of them with exactly five factors.

There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.

There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.

It has three prime factors, but not factors in total.

4, 9, 25

27