The number 6 has four factors: 1, 2, 3 and 6.what is the smallest number with exactly five factors

The number 6 has four factors: 1, 2, 3 and 6.what is the smallest number with exactly five factors?
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1 Answer

There are none with exactly five factors.

If p₁, p₂, p₃, etc. are the prime factors of a number N, then:

N=p₁^x₁ × p₂^x₂ × etc.

The number of factors=(x₁+1)(x₂+1)...

Since each power (x₁, x₂, ...) has a minimum value of 1, so the number of factors must be an even number, and 5 is an odd number.

by Top Rated User (1.2m points)

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