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# What is the prime factorization of 35?

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The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.

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Deriving the prime factors of a number is helpful in determining least common multiples and greatest common factors. The concept of least common multiple helps students learn to add fractions having different denominators. Greatest common factors are useful in reducing fractions to their standard form. Two is a prime factor of every even number and is the most common prime factor found.

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## Related Questions

• A:

The prime factorization of 85 is 5 x 17. The prime factorization of a number involves breaking down a number into a combination of its prime factors. The final factorization can be two or more prime numbers and may contain duplicates.

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The prime factorization of 56 is 2 x 2 x 2 x 7. Both the prime numbers 2 and 7 divide 56 without leaving a remainder.

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The prime factorization of 120 is 2^3 x 3 x 5. Prime factorization requires finding the prime numbers that multiply together to yield a particular product. Prime numbers are numbers greater than one that are divisible by only themselves and 1.