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Why do you say the prime factorization of 100 instead of a prime factorization of 100?
Because 100 only has one prime factorization.Because each composite whole number has a unique prime factorization.
Least common multiple of 168 and 378?
To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 168 is 2^3 * 3 * 7 and the prime factorization of 378 is 2 * 3^3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number: 2^3 * 3^3 * 7 = 1512. Therefore, the least common multiple of 168 and 378 is 1512.
What is the LCM of 136 and 102 and 204?
To find the Least Common Multiple (LCM) of 136, 102, and 204, we first need to find the prime factorization of each number. The prime factorization of 136 is 2^3 * 17, the prime factorization of 102 is 2 * 3 * 17, and the prime factorization of 204 is 2^2 * 3 * 17. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 * 17 = 408. Therefore, the LCM of 136, 102, and 204 is 408.
What is the LCM of 5 25 and 125?
To find the Least Common Multiple (LCM) of 5, 25, and 125, we need to first find the prime factorization of each number. The prime factorization of 5 is 5, the prime factorization of 25 is 5^2, and the prime factorization of 125 is 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 5^3, equaling 125. Therefore, the LCM of 5, 25, and 125 is 125.
105 is the prine factorization of each composite number?
3 x 5 x 7 is the prime factorization of 105.
