The prime factorization of 200 is 2 x 2 x 2 x 5 x 5, which is written using exponents as 2^3 x 5^2. Prime factorization involves finding the prime numbers that multiply together to make a particular number.

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The prime factorization of 40 is 40 = 2 x 2 x 2 x 5. To find the prime factorization of any number, x, one must determine which prime numbers multiple together to equal x.

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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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The prime factorization of 42 is 2 x 3 x 7. The prime factors of a number are numbers that are both factors and prime at the same time.

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The prime factorization of 24 is 2 x 2 x 2 x 3. Thus, the number 24 has only 2 prime factors, 2 and 3. Prime factors of 24 are numbers that divide 24 exactly without leaving a remainder and are prime numbers as well.

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The prime factorization of 60 is 2 x 2 x 3 x 5. The prime factorization of any number is the set of prime numbers that multiplied together equals the original number.

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The prime factorization of 32 is 2 x 2 x 2 x 2 x 2. The prime factors of a number are numbers that are both factors and prime. In this case, the only factor of 32 that is prime is 2.

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