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85 is: the product of two prime numbers (5 and 17), and is therefore a semiprime of the form (5.q) where q is prime. specifically, the 24th Semiprime, it being the fourth of the form (5.q). together with 86 and 87, forms the second cluster of three consecutive semiprimes; the first comprising 33, 34, 35. [1]
The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. ... 85: 5·17 86: ...
The same prime factor may occur more than once; this example has two copies of the prime factor When a prime occurs multiple times, exponentiation can be used to group together multiple copies of the same prime number: for example, in the second way of writing the product above, 5 2 {\displaystyle 5^{2}} denotes the square or second power of ...
If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:
Here the exponent () is the multiplicity of as a prime factor of (also known as the p-adic valuation of ). For example, in base 10, 378 = 2 1 · 3 3 · 7 1 is a Smith number since 3 + 7 + 8 = 2 · 1 + 3 · 3 + 7 · 1, and 22 = 2 1 · 11 1 is a Smith number, because 2 + 2 = 2 · 1 + (1 + 1) · 1.
If one of the factors is composite, it can in turn be written as a product of smaller factors, for example 60 = 3 · 20 = 3 · (5 · 4). Continuing this process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem.
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This article gives a list of conversion factors for several physical quantities. A number of different units ... ≈ 0.000 375 939 85 m: point [13] pt