why do we repeat 2 in prime factorization
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Repeated prime factors are discussed here. Since, 8 = 2 × 2 × 2; here 2 is said to be repeated prime factor of 8. A number can have two or more different repeated prime factors. Let us consider some of the examples on repeated prime factors; (i) The repeated prime factors of 16 = 2 × 2 × 2 × 2.
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The number 2 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 2 has exactly two factors, i.e. 1 and 2, it is a prime number.
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