Question

3. Identify which of the following is a prime factorization.
a. 48= 2 ×2×3×4​

Answer 1

This is not a prime factorization.

• A number can be expressed as the product of its prime components through the process of prime factorization. A number with exactly two elements, 1 and the number itself, is said to be a prime number.
• Prime factorization is the technique of expressing a number as the product of prime numbers.
• The only two components in prime numbers are the number itself and the number itself.
• Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, the prime factorization of a number refers to the process of multiplying prime numbers to produce the original number.
• A number's factors are the sum of the numbers multiplied together to get the original number. The factor tree method involves identifying a number's factors, which are then further factorised until we reach the prime numbers.

Here, the factorization is given as,

48= 2 ×2×3×4​.

Here, 4 is not a prime factor.

Hence, this is not a prime factorization.

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