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The prime factorization of 343 is: 7 x 7 x 7
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.
343 = 7 * 7 * 7 = 73
Oh, what a happy little question! The prime factorization of 343 is 7 x 7 x 7, or 7^3. Just like painting a beautiful landscape, breaking down numbers into their prime factors can be a soothing and meditative process. Remember, there are no mistakes in math, just happy little calculations!