Question

Express 72 as a product of prime numbers.​

Answer 1

Answer:

Writing a Product of Prime Factors

For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.

Answer 2

Final Answer:

The 72 is expressed as $72=2\times 2\times 2\times 3\times 3$ in the form of product of prime numbers.

Given:

The number 72 is given.

To Find:

The number 72 is to be expressed as a product of prime numbers.

Explanation:

The vital concept of prime number is helpful here in finding out the solution.

Any number when shows only two constituent factors only, one being itself and the other being 1, is termed as the prime number.

Any number can be prime factorized into its constituent prime numbers.

Step 1 of 3

As per the given statement in the problem, write the following factorization of the number 72.

$72=1\times 72\\72=2\times 36\\72=3\times 24\\72=4\times 18\\72=6\times 12\\72=8\times 9$

Step 2 of 3

Using the above information, it is clear that the only prime factors among all the factors of 72 are 2 and 3.

Step 3 of 3

In continuation with the above calculations write the prime factorization of the number 72.

$72=2\times 2\times 2\times 3\times 3$

Therefore, the required correct answer is the prime factorization $72=2\times 2\times 2\times 3\times 3$.

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