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# How many numbers between 64 and 76 have prime factorizations that contain only two factors?

Updated: 4/28/2022

Wiki User

12y ago

There are three numbers that fit those requirements.

Wiki User

12y ago

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Q: How many numbers between 64 and 76 have prime factorizations that contain only two factors?
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### How can you use prime factorization to determine whether two numbers are relatively prime?

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

### What r prime factorizations?

Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.

### What is the GCF of 61 and 73 using factorizations?

61 and 73 are prime numbers. Prime numbers don't have prime factorizations, since their only prime factors are themselves. Since these would have to be different numbers, they don't have any prime factors in common. The GCF of any set of prime numbers is 1.

### 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.

### 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 is a prime factorization of -42?

The prime factors of 42 are 2, 3 and 7.

### 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 determine whether the gcf of two numbers is one by looking at their prime factorizations?

If there are no prime factors in common, the GCF is 1.

### What is the GCF of 61 and 73 using prime factorizations.?

61 and 73 are both prime numbers. Prime numbers don't have prime factorizations since they only have one prime factor. The GCF of any set of different prime numbers is 1, since they don't have any prime factors in common.

### How can you tell by looking at the prime factorizations of two whole numbers that their greatest common factor is 1?

If they have no prime factors in common, their GCF is 1.

### 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.

### What is the Difference of the process getting GCF and Getting LCM?

Both start with finding the prime factorizations of the given numbers. The difference is which of those factors you select.