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What is the prime factorization of 175 over 245 and then reduce to lowest terms?
175/245 = (5*5*7)/(5*7*7) = 5/7
What is the prime factorization of 1225 over 245?
5 x 5 x 7 x 7 = 1225 5 x 7 x 7 = 245 1225/245 = 5 The prime factorization of 5 is 5.
Find the prime factorization of 245?
245 = 5 × 72
What is the prime factorization of 245 using exponents?
The prime factorization of 245 is 5 x 7 x 7, or 5 x 7^2. This can be written in exponential form as 5 x 7^2, where 5 is raised to the power of 1 and 7 is raised to the power of 2. This means that 245 can be expressed as the product of its prime factors, with 5 occurring once and 7 occurring twice.
What are the factors and prime factors of 245?
The factors of 245 are 1, 5, 7, 35, 49, and 245.The prime factors of 245 are 5, 7, and 7.Determining the prime factors:The process of prime factorization is one of repeated division by primes, while obtaining a quotient without a remainder, until the process yields a quotient of 1245 is not divisible by 2 or by 3245 ÷ 5 = 49 ................................. 5 is a prime factor of 24549 is not divisible by 549 ÷ 7 = 7 ..................................... 7 is a prime factor of 2457 ÷ 7 = 1 ....................................... 7 is a prime factor of 245So the prime factorization of 245 are 5 x 7 x 7 or, in index form (in other words, using exponents), 5 x 72.
