Composite number
Types: Prosody and nuance
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If ''all'' the prime factors of a number are repeated it is called a [[powerful number]] ( |
If ''all'' the prime factors of a number are repeated it is called a [[powerful number]] (too, all [[perfect power]]s are powerful numbers). If ''none'' of its prime factors are repeated, it is called [[Square-free integer|squarefree]]. (All prime numbers and 1 are squarefree.) |
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For example, [[72 (number)|72]] = 23 × 32, all the prime factors are repeated, so 72 is a powerful number. [[42 (number)|42]] = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. |
For example, [[72 (number)|72]] = 23 × 32, all the prime factors are repeated, so 72 is a powerful number. [[42 (number)|42]] = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. |
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