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.
Know MoreTo 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 more in NumbersThe prime factorization of 27 is 3x3x3. To perform prime factorization on a number, the number is broken down until only prime numbers remain. The answer can be checked by multiplying the prime factors together to see if they equal the original number.
Full Answer >The prime factorization of 256 is two to the eighth power, or 2^8. The prime factors of a given number are the prime numbers that, when multiplied together, yield the given number. Prime numbers are numbers that are evenly divisible by only themselves and one.
Full Answer >The prime factorization of the number 80 is 2 x 2 x 2 x 2 x 5. When multiplied together, these five numbers have a product of 80.
Full Answer >The 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.
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