The prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 2 to the 4th power x 3. Prime factorization is also called integer factorization, and sometimes prime decomposition, and is the determination of the set of prime numbers that multiply together in order to become the original number.
Know MorePrime factorization can be taught by first starting with the number. Starting with 48, the student will need to think about what number can be used to divide the original problem number (48). The number used to divide the original problem number cannot be a number that leaves an uneven result such as 9, 48 divided by 9 is 5.333 and is not an even result. However, 48 divided by 2 is. 48 divided by 2 is 24. So students save the "2" and then continue onward with the number 24. 24 can also be divided by 2 to equal 12 so the "2" is saved again. Now, the student has 2 x 2 and the "12" left. The 12 can be divided by 2 to get 6. The student now has 2 x 2 x 2 and the "6" left. This 6 can be divided by 2 to get 3. Now the student has 2 x 2 x 2 x 2 and the "3" left. The 3 is a prime number and cannot be divided evenly by another number so the "3" is the final saved number. The full answer then is 2 x 2 x 2 x 2 x 3. This is the process that the student will go through in order to complete prime factorization.
Learn more about ArithmeticThe prime factorization of 81 is 3 x 3 x 3 x 3, or 3 ^ 4. Prime factorization of a number involves finding the prime numbers that, when multiplied together, yield that number.
Full Answer >The prime factorization of 38 is 19 multiplied by 2. Prime factorization involves finding which prime numbers may be multiplied together to yield a particular number. Prime numbers are numbers greater than one that are only divisible by one and themselves.
Full Answer >The prime factorization of 76 is 2 x 2 x 19. In other words, 2 and 19 are the prime factors of 76. A prime number is one that is divisible only by itself and 1.
Full Answer >The prime factorization of 160 can be given as 2 x 2 x 2 x 2 x 2 x 5; it can also be expressed using exponents as 2^{5} x 5. The prime factorization of a number is finding the prime factors that, when multiplied together, produce this number.
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