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Q: What is the prime factorization of 343 in factored form?

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

You can just try that out. If it's only one prime factor to the third power, it means the number is either 23, 33, 53, 73, 113 etc.. if you check those, 53 is 125. 113 is already 1331. 73 is 343 and therefore fits the description, so the number you're looking for is 343.

The factors of 8575 are: 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575. The prime factors are: 5, 7.

-7

2 x 6174 2 x 2 x 3087 2 x 2 x 3 x 1029 2 x 2 x 3 x 3 x 343 2 x 2 x 3 x 3 x 7 x 49 2 x 2 x 3 x 3 x 7 x 7 x 7

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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

343 49,7 7,7,7

7 x 7 x 7 = 343

343 = 7 * 7 * 7 = 73

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

The four factors of 343 are 1, 7, 49, and 343. The factor pairs of 343 are 1 x 343 and 7 x 49. The proper factors of 343 are 1, 7, and 49 or, if the definition you are using excludes 1, they are 7 and 49. The prime factors of 343 are 7, 7, and 7. The only distinct prime factor (listing each prime factor only once) of 343 is 7. The prime factorization of 343 is 7 x 7 x 7 or, in index form (in other words, using exponents) is 7^3.

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

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