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Earn +20 ptsQ: What is the prime factorization of 343 over 2401?
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What number does 2401 go evenly into?
1 and 241. 241 is a prime number.
What divides into 343 and 2401?
1, 7, 49, 343.
What is the prime factorization of 29using exponents?
There is no prime factorization for 23; it is a prime number.
What is the number that goes into 4802?
All these go into 4,802 evenly: 1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802.
What is the least common multiple of 49 and 343?
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. In this case, the prime factorization of 49 is 7^2 and the prime factorization of 343 is 7^3. The LCM is found by taking the highest power of each prime factor that appears in either number, so the LCM of 49 and 343 is 7^3, which equals 343.
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