The prime factorization of 72 is 2^{3x} 3^{2}, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.
Continue ReadingTo determine the prime factorization of 72, the number should be broken down one step at a time by the lowest factor available, which in this case is 2: 72 = 36 x 2. Since 36 is not a prime number, the process should be repeated until all prime numbers are obtained: 36/2 = 18 x 2. Continuing on, 18/2 = 9, and 9/3 = 3. Combining all of the prime factors together, 72 is equal to 2 x 2 x 2 x 3 x 3.
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