Question

which of the following is not a prime factorization ​

Answer 1

Answer:

I think the answer of this question is option c

Answer 2

From given options, (a) 2 × 10 × x  and (c) 4 × 4 × 4 × x × x × y × y × y  are not prime factorizations

Given:

a) 2 × 10 × x

b) 2 × 7 × x × x

c) 4 × 4 × 4 × x × x × y × y × y

d) 2 × 2 × 2 × 3 × x × x × y × y

To find:

which of the following is not a prime factorization

Solution:  

Prime factorization:

• Prime factorization is way of expressing the given number as product of its prime factors
• Here are examples for Prime factorization

              12 = 2 × 2 × 3

               15 = 3 × 5

               100 = 2 × 2 × 5 × 5

• When we do a factorizations every number should be a prime number    

Now check given options

a) 2 × 10 × x  

Here, 10 is not a prime number

2 × 10 × x is not a prime factorization

[ Since x has no other factors expect 1 and x, consider x as a prime number ]

b) 2 × 7 × x × x

Here, 2, 7 and x are prime numbers

2 × 7 × x × x is a prime factorization

c) 4 × 4 × 4 × x × x × y × y × y

Here, 4 is not a prime numbers

4 × 4 × 4 × x × x × y × y × y is not prime factorization

d) 2 × 2 × 2 × 3 × x × x × y × y

Here, 2, 3, x and y are prime numbers

2 × 2 × 2 × 3 × x × x × y × y is a prime factorization  

From given options, option (a) and (c) are not prime factorizations

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