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How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
What is the longest string of prime factors for 30?
the longest string of prime factor for 30 is 2 x 3 x 5
What is the longest string of prime factors?
The prime factorization.
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 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.
How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
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.
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
How do you know when you found the longest possible string of factors for a number?
When each one of them is a prime.
What is the longest string of prime factors for 30?
the longest string of prime factor for 30 is 2 x 3 x 5
What is the longest string of prime factors?
The prime factorization.
Which is the longest string of prime factors for 30?
2x3x5
What is the longest factor string you found?
The longest factor string of any composite number is its prime factorization.
What is the longest factor string for 312?
The longest factor string is 2x2x2x3x13. It is always best to list your factor string from the least to greatest number.
What is the mathematical definition for a length of a factor string?
The number of numbers in the string; how long it is.
What is the longest prime factorization string for 13?
Itself because 13 is a prime number that has only two factors which are itself and one
How do you know you have the biggest factor string?
When all of the factors are prime. The longest factor string is the prime factorization.
