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To perform the prime factorization of a number, determine the prime numbers that, when multiplied, equal the original number. Then, make a prime factor pyramid to help you find the smallest prime numbers.

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To do prime factorization, determine the smallest prime numbers that can divide evenly into the whole number. Use a factorization pyramid to help you visualize how prime numbers divide into a number.

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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 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 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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The prime factors of 45 are three, three and five. These three numbers represent the unique combination of prime numbers that, when multiplied together, produce 45 as an answer.

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The prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 2 to the 4th power x 3. Prime factorization is also called integer factorization, and sometimes prime decomposition, and is the determination of the set of prime numbers that multiply together in order to become the original number.

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The prime factors of 22 are 2 and 11. Prime factors of a number are composed of prime numbers that when multiplied together form the number.

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The prime factorization of 38 is 19 multiplied by 2. Prime factorization involves finding which prime numbers may be multiplied together to yield a particular number. Prime numbers are numbers greater than one that are only divisible by one and themselves.

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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.