Search results
Results from the WOW.Com Content Network
The tables contain the prime factorization of the natural numbers from 1 to 1000. When n is a prime number, the prime factorization is just n itself, written in bold below. The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
Plot of the number of divisors of integers from 1 to 1000. Highly composite numbers are labelled in bold and superior highly composite numbers are starred. In the SVG file, hover over a bar to see its statistics. Roughly speaking, for a number to be highly composite it has to have prime factors as small
The first 1000 prime numbers ... write the prime factorization of n in base 10 and concatenate the factors; iterate until a prime is reached. 2, 3, 211, 5, ...
1000 = 2 3 ×5 3, 1001 = 7×11×13. Factors p 0 = 1 may be inserted without changing the value of n (for example, 1000 = 2 3 ×3 0 ×5 3). In fact, any positive integer can be uniquely represented as an infinite product taken over all the positive prime numbers, as
Around 1000 AD, the Islamic ... The question of how many integer prime numbers factor into a product of multiple prime ideals in an algebraic number field is ...
The number of divisors is found by adding one to each exponent of each prime and multiplying the resulting quantities together, so the number of factors of is (+) (+) = (+). For example, the number 8 is a factor of 10 3 (1000), so 1 8 {\textstyle {\frac {1}{8}}} and other fractions with a denominator of 8 cannot require more than three ...
1155 = number of edges in the join of two cycle graphs, both of order 33, [142] product of first four odd primes (3*5*7*11) 1156 = 34 2, octahedral number, [143] centered pentagonal number, [46] centered hendecagonal number. [144] 1157 = smallest number that can be written as n^2+1 without any prime factors that can be written as a^2+1. [145]
The tables below list all of the divisors of the numbers 1 to 1000. A divisor of an integer n is an integer m , for which n / m is again an integer (which is necessarily also a divisor of n ). For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21).