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Is 96 and 105 relative prime?
Yes, 96 and 105 are relatively prime because they have no prime factors in common.
What are the prime factorization 105?
As a product of its prime factors: 3*5*7 = 105
What are the common factors of 50 and 60?
The Prime Factors of 60 are 2, 3, 5The Prime Factors of 50 are 2, 5
What is the sum of all the distinct positive prime factors of 105?
The prime factors of 105 can only be prime numbers less than the square root of 105. The greatest prime less than the square root of 105 is 7, so the only numbers that need to be considered as possible prime factors of 105 are 2, 3, 5, and 7. 2 cannot be one of its prime factors because 105 is an odd number. Divide 105 by the next larger possible prime, 3, and the quotient is 35, proving that 3 is a prime factor of 105. 35 cannot be divided by 3, but 5 goes into 35 leaving a quotient of 7. The prime factorization of 105 is 3 x 5 x 7.
What Numbers have 60 factors?
Any prime number to the 59th power will have 60 factors.
