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What smallest postitve integer has at least 8 prime factorizations?
28 = 256
Is 17 a composite number or a prime number?
17 is a Prime Number, because 1 and 17 are the only Least Common Multiples.
What numbers have the same prime factors of 28?
Prime factorizations are unique. No other number will have exactly the same number of prime factors as 28. Multiples of 14 will have some of the same factors.
How can you use the prime factorization of two numbers to determine whether they are relative prime?
If the prime factorizations have no prime factors in common, the numbers are relatively prime.
What prime factors are common to all multiples of 10?
2 and 5 are the prime factors that are common to all multiples of 10.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
What are common numbers of 65 and 145?
The common numbers of 65 and 145 are the multiples of their least common multiple (LCM). To find the LCM, we first determine the prime factorizations: 65 is 5 × 13, and 145 is 5 × 29. The LCM is 5 × 13 × 29 = 1895, so the common numbers are multiples of 1895, such as 1895, 3790, 5685, and so on.
How many numbers are in a prime factorizations have?
At least two.
How do you use a factor tree to find a Least Common Denominator?
The factor tree finds the prime factorization of a given number. Combining the prime factorizations of two denominators correctly will give you their least common denominator.
What prime number do the prime factorizations of 130 and 165 have in common?
5
What prime number is in common between the prime factorizations of 130 and 165?
5
What will the prime factorization of this multiple have in common with the prime factorizations of 72?
5 c
What are the least common multiples of 3 and 13?
The LCM of the given prime numbers is 39
How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?
If none of the prime factors are in common, the LCM will be the product of the two.
List two methods that can be used to find the greatest common factor of a set of numbers?
Prime factorization and the Euclidean algorithm
What is the least common multiple of 33 and 8?
the answer is 264 Prime Factorizations 33=3*11 (2 distinct prime factors) 8=23 (3 prime factors, 1 distinct)
What smallest postitve integer has at least 8 prime factorizations?
28 = 256
