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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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The prime factors of 12 are 2 and 3. A prime number is a number greater than 1 that cannot be divided by any number except itself and 1. Both 2 and 3 are prime factors of 12 because they are prime numbers that can be divided into 12 with nothing remaining.

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The prime factors of 6 are 2 and 3. The number 6 cannot be factorized into any other combination of prime numbers. A prime number is a whole number larger than 1 which can only be divided by 1 and itself.

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The prime factors of 30 are 2, 3 and 5. In addition to being the factors of 30, the numbers 2, 3 and 5 are also prime numbers, which means that they can only be divided evenly by either the number 1 or by themselves. The numbers 2, 3 and 5 are also the first three prime numbers.

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The prime factorization of 100 is 2^2 x 5^2, or 2 x 2 x 5 x 5. One hundred is considered a composite number because it is a positive integer divisible by at least one positive number other than 1 and 100 (itself).

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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 factors of 50 are 2 and 5, with the rest of its factors not being prime numbers. A factor is any number that can be divided evenly into the base number of interest, but only some factors are also prime numbers.

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The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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The prime factors of 14 are two and seven. The prime factors of a number are all the factors of a number that are also 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.