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Q: Can you show the work of the prime factorization for 343?

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The prime factorization of 343 is: 7 x 7 x 7

The prime factorization of 343 is 7 x 7 x 7 or 7^3.

343 = 73

7 x 7 x 7 = 343

343 = 7 * 7 * 7 = 73

73 7*7*7 = 343

Prime factorization of 343 = 7 x 7 x 7 Prime factorization of 57 = 3 x 19 It is clear that no prime number is common in the prime factorizations. Therefore, GCF of 343 & 57 is 1.

Use a factor tree. 343 49,7 7,7,7

7 x 7 x 7

The LCM of 343 and 549 is 188,307. The prime factorization of 343 is 7 x 7 x 7 The prime factorization of 549 is 3 x 3 x 61. The LCM must be the product, i.e. 188,307

5 x 5 x 5 = 125 7 x 7 x 7 = 343

The primate factors of 343/2401 is (7,7,7)/(7,7,7,7) This is because (7*7*7) / (7*7*7*7) = (343) / (2401)

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