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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. ... 60: 2 2 ·3 ...
Sexagesimal, also known as base 60, [1] is a numeral system with sixty as its base. ... and 5 in its prime factorization) may be expressed exactly. [26]
The integer 5 is a unitary divisor of 60, because 5 and = have only 1 as a common factor. On the ... where k is the number of distinct prime factors of n.
2.60 Solinas primes. 2.61 ... write the prime factorization of n in base 10 and concatenate the factors; iterate until a prime is reached. 2, 3, 211, 5, 23, 7 ...
Regular numbers are numbers that evenly divide powers of 60 (or, equivalently, powers of 30). Equivalently, they are the numbers whose only prime divisors are 2, 3, and 5. As an example, 60 2 = 3600 = 48 × 75, so as divisors of a power of 60 both 48 and 75 are regular.
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 ...
60 × 168 63 × 160 70 × 144 ... Because the prime factorization of a highly composite number uses all of the first k primes, every highly composite number must be a ...
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.