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Q: What is a string of consecutive composite numbers that's is longer than 5?
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What is the longest string of consecutive composite numbers?

when i did this problem i was doing a eratosthenes sieve method and the numbers was from 1-100 so i got the longest string of consecutive composite numbers on the grid are 74-82 this should be right. BTW I'm 13 doing my moms college work Sorry, but 79 is a prime number. I got 90~96


Can a composite number have composite and prime factors?

A composite number has more than two factors. A prime number has exactly two factors. A prime factor is a factor that is a prime number. All numbers can be written as a prime number or the product of prime factors. So, all composite numbers have prime factors. Here are examples: 10 = 2 x 5 11 = 11 12 = 2 x 2 x 3 13 = 13 14 = 2 x 7 15 = 3 x 5 16 = 2 x 2 x 2 x 2 Any number has itself as a factor, so all composite numbers have at least one composite factor - themselves. Some composite numbers have other composite numbers as factors, as well. If the composite number has only two (not necessarily distinct) prime factors, it will not have any other composite numbers as factors other than itself. Here are examples: 20 has factors 1, 2, 4, 5, 10, and 20, of which 4, 10, and 20 are composite numbers. 21 has factors 1, 3, 7, and 21, of which only 21 is a composite number. 22 had factors 1, 2, 11, and 22, of which only 22 is a composite number. 24 has factors 1, 2, 3, 4, 6, 8, 12, and 24, of which 4, 6, 8, 12, and 24 are composite numbers. A factor string of a composite number can be a combination of prime and composite factors that multiplied together equal the number. The prime factorization is a factor string with only the prime numbers. Here are examples: 24 has a factor string of 4 x 6, both of which are composite numbers, or 3 x 8, of which one is a composite number and one is a prime number, or 2 x 3 x 4, of which one is a composite number and two are prime numbers, or 2 x 2 x 2 x 3, which is the prime factorization. 20 has a factor string of 4 x 5, of which one is a composite number and one is a prime number, or 2 x 2 x 5, which is the prime factorization.


How do you find the factor string for a number?

Factor strings are multiplication sentences. You can take any factor pair, put a multiplication symbol between them and you have a factor string. The longest factor string for any composite number is the prime factorization. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. And the longest factor string.


What are factors and string and length?

Factors are integers that can be multiplied together to create a product. Such multiplication sentences are called strings. The length of the string is how many numbers are in it. 6 x 4 is a factor string for 24. 2 x 3 x 4 is a longer factor string for 24. 2 x 2 x 2 x 3 is the longest factor string for 24. The longest factor string is also known as the prime factorization.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.

Related questions

What is the longest string of consecutive composite numbers?

when i did this problem i was doing a eratosthenes sieve method and the numbers was from 1-100 so i got the longest string of consecutive composite numbers on the grid are 74-82 this should be right. BTW I'm 13 doing my moms college work Sorry, but 79 is a prime number. I got 90~96


What are the seven consecutive composite numbers from one to hundred?

We're not sure exactly what the question is looking for, so I made upmy own, and it leads to a fascinating investigation. I hope this is actuallywhat the questioner has in mind.The question seems to be asking: "Find seven consecutive numbers that areall composite."I did a quick investigation, and found some neat stuff. I sure hope my method was valid.-- There actually is a string of seven composite numbers less than 100.They are: 90, 91, 92, 93, 94, 95, 96.-- There are seven strings of five consecutive composite numbers, all less than 100.-- The next series of seven consecutive composites doesn't occur until 360-366.But on the way there, there are five strings of 9 composites, two strings of 11 composites,and three strings of 13 composites.-- There are no series of an even number of consecutive composites, at leastnot up to 200,000 . Wonder why that is.-- The string of 19 consecutive numbers from 888 to 906 are all composite.-- Up to 200,000, the grand-daddy is the range from 155,922 to 156,006 ...a series of 85 consecutive integers that are all composite.


What is the longest string of consecutive composite numbers in eratosthenes?

200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210...yep all 11


What is the longest number string that only consists of prime numbers?

The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.


What is the longest string of composite numbers in the 200's?

A run of 11 from 212 to 222 (both inclusive).


How many longest strings of factors are there for a given number?

For composite numbers, only one string of factors is the longest; the prime factorization.


Can a composite number have composite and prime factors?

A composite number has more than two factors. A prime number has exactly two factors. A prime factor is a factor that is a prime number. All numbers can be written as a prime number or the product of prime factors. So, all composite numbers have prime factors. Here are examples: 10 = 2 x 5 11 = 11 12 = 2 x 2 x 3 13 = 13 14 = 2 x 7 15 = 3 x 5 16 = 2 x 2 x 2 x 2 Any number has itself as a factor, so all composite numbers have at least one composite factor - themselves. Some composite numbers have other composite numbers as factors, as well. If the composite number has only two (not necessarily distinct) prime factors, it will not have any other composite numbers as factors other than itself. Here are examples: 20 has factors 1, 2, 4, 5, 10, and 20, of which 4, 10, and 20 are composite numbers. 21 has factors 1, 3, 7, and 21, of which only 21 is a composite number. 22 had factors 1, 2, 11, and 22, of which only 22 is a composite number. 24 has factors 1, 2, 3, 4, 6, 8, 12, and 24, of which 4, 6, 8, 12, and 24 are composite numbers. A factor string of a composite number can be a combination of prime and composite factors that multiplied together equal the number. The prime factorization is a factor string with only the prime numbers. Here are examples: 24 has a factor string of 4 x 6, both of which are composite numbers, or 3 x 8, of which one is a composite number and one is a prime number, or 2 x 3 x 4, of which one is a composite number and two are prime numbers, or 2 x 2 x 2 x 3, which is the prime factorization. 20 has a factor string of 4 x 5, of which one is a composite number and one is a prime number, or 2 x 2 x 5, which is the prime factorization.


Is a prime number the prime factorization of a number?

The prime factorization of a composite number is a string of prime numbers. 2 x 3 x 5 = 30


In a violin the longer the string what note does it produce?

The longer the string the lower the note it produces


What is the longest factor string you found?

The longest factor string of any composite number is its prime factorization.


What is the difference between a string and a number?

In computer programming, a "string" usually refers to an array of characters. A string may consist of nothing (an empty string) or as many characters as are allowed in an array. To denote a string, surrounding a list of characters by double quotes is the typical standard.Strings:* "" * "abc" * "Cows say 'Moo!'" * "http://wiki.answers.com"Numbers are those fun symbols you remember from math class. The confusing part is when a string contains numbers ("123"). Usually a programming language will have a way to convert between a string of numbers and an actual number type, in case you happen to need to do math with the string.


Why are prime numbers on the bottom of a factor tree?

Factor trees are ways of notating the process of finding the prime factorization of a given composite number and, as such, should result in an identifiable string of prime factors.