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What is the longest string of prime factors?
The prime factorization.
The longest string of factors for a number?
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.
What is a prime factor string?
A prime factor string is a way to express a number by listing its prime factors along with their respective exponents. For example, for the number 60, the prime factorization is (2^2 \times 3^1 \times 5^1). The "prime factor string" in this case is a formatted representation that captures this factorization. It shows each prime factor and the number of times it divides the original number.
What is a longest factor string?
The prime factorization is the longest factor sting.
What is the longest factor string you found?
The longest factor string of any composite number is its prime factorization.
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.
What is the longest factor string of a number called?
The prime factorization
Is the prime factorization the same as the factor string?
Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.
Is prime factorization and longest factor string the same thing?
Yes.
What are the longest factor string for 840 and explain why?
The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
What is the longest string of prime factors?
The prime factorization.
Why is the longest factor string for any whole number is the prime factorization?
Shorter factor strings aren't composed entirely of prime numbers.
What is the longest prime factorization string for 239?
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.
The longest string of factors for a number?
The prime factorization.
What is the prime factorization longest factor string for 100?
2 x 2 x 5 x 5 = 100
