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.
To 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.
Learn MoreThe prime factorization of 56 is 2 x 2 x 2 x 7. Both the prime numbers 2 and 7 divide 56 without leaving a remainder.
Full Answer >The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.
Full Answer >The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.
Full Answer >The prime factorization of 120 is 2^3 x 3 x 5. Prime factorization requires finding the prime numbers that multiply together to yield a particular product. Prime numbers are numbers greater than one that are divisible by only themselves and 1.
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