prime factorization of 6174. please write it in book.
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6174 can be written as the sum of the first three degrees of 18: 18³ + 18² + 18¹ = 5832 + 324 + 18 = 6174. The sum of squares of the prime factors of 6174 is a square: 2² + 3² + 3² + 7² + 7² + 7² = 4 + 9 + 9 + 49 + 49 + 49 = 169 = 13.
Factorization: 2 × 3² × 7³
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