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Question Find the prime factorizations of the following numbers: 64, 104, 105, 243, 320, 141, 1728, 729, 1024, 1331, 1000.
(a) The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2.
(b) The prime factorization of 104 is 2 × 2 × 2 × 13.
(c ) The prime factorization of 105 is 3 × 5 × 7.
(d) The prime factorization of 243 is 3 × 3 × 3 × 3 × 3.
(e) The prime factorization of 320 is 2 × 2 × 2 × 2 × 2 × 2 × 5.
(j) The prime factorization of 141 is 3 × 47.
(g) The prime factorization of 1728 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3.
(h) The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3.
(f) The prime factorization of 1024 is 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.
(j) The prime factorization of 1331 is 11 × 11 × 11.
(k) The prime factorization of 1000 is 2 × 2 × 2 × 5 × 5 × 5.