No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a Prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.
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22 x 3 x 7 = 84
The prime factorization of 84 is 2 x 2 x 3 x 7.
The LCM, or Least Common Multiple, of 7 and 84 is the smallest multiple that both numbers share. To find the LCM, you can first find the prime factorization of each number: 7 is a prime number, and 84 can be broken down into 2^2 * 3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number, which in this case would be 2^2 * 3 * 7 = 84. Therefore, the LCM of 7 and 84 is 84.
6 isn't prime. Try 2 x 2 x 3 x 7.
The prime factorization of 84 is: 2 x 42 2 x 2 x 21 2 x 2 x 3 x 7 So, the prime numbers that are factors of 84 are 2, 3, and 7.