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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.
