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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 know you have the biggest factor string?
When all of the factors are prime. The longest factor string is the prime factorization.
What number has the prime factorization of 2x2x3x3x5?
The prime factorization of 2x2x3x3x5 is 2^2 * 3^2 * 5. When we multiply these prime factors together, we get the number 180. Therefore, the number with the prime factorization of 2x2x3x3x5 is 180.
Is the prime factorization of 180?
As a product of its prime factors: 2*2*3*3*5 = 180
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 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.
What is the difference between a factor string and prime factorization?
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
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 prime factorization of 2000000000000000000000000000000000000000000000000000000000000?
What is the prime factorization of 256^180
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
What is prime factorization of 180?
2, 2, 3, 3, 5Prime factorization of 180 = 2 * 2 * 3 * 3 * 5
