2022-04-23 13:26:53 +01:00
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2022-09-06 13:26:44 +01:00
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categories:
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2022-04-23 13:26:53 +01:00
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- Mathematics
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2022-09-06 13:26:44 +01:00
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tags:
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- prealgebra
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- theorems
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2022-04-23 13:26:53 +01:00
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---
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2024-02-02 15:58:13 +00:00
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> Every integer greater than one is either a prime number itself or is product
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> of a unique combination of primes.
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2022-04-23 13:26:53 +01:00
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This is also known as the **Unique Factorisation Theorem**.
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2024-02-02 15:58:13 +00:00
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'Unique' means that there is not more than one way to derive the whole number.
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Once you reduce the factorisation to primes, there can only be one set of
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numbers that results in the target number.
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2022-04-23 13:26:53 +01:00
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2024-02-02 15:58:13 +00:00
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For example, $24$ has the following factors: ${12, 24}$ and $6, 4$ but these are
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composite numbers. The unique factorisation combination for 24 is $2, 2, 3$.
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