Question

A number is written with the following factorization: 23 × 4 × 5. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
My answer is no because 160 the answer is not prime, but Im not sure

please help thank you

Answer 1

This factorization is not a prime factorization

Because 4 is not a prime number

The prime factorization of the number is $2^{5}$ × 5

Step-by-step explanation:

Lets explain the meaning of prime numbers

• Prime numbers are the numbers have two factors only 1 and itself, as 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...........
• All the prime numbers are odd numbers except 2 is an even number

Prime factorization means factorize a number into prime numbers only

Example

The prime factorization of 18 is 2 × 3 × 3 not 2 × 9 because 9 is not a prime number

∵ A number is written with the following factorization: 2³ × 4 × 5

∵ 2 and 5 are prime numbers but 4 is not a prime number

∴ The factorization is not a prime factorization

This factorization is not a prime factorization

Because 4 is not a prime number

To correct it factorize 4 into prime number

∵ 4 = 2 × 2

∵ 2 is a prime number

∴ The factorization of 4 = 2 × 2 or 2²

∴ The prime factorization is 2³ × 5 × 2²

- Add the powers of the same base

∴ The prime factorization is $2^{3+2}$ × 5

∴ The prime factorization is $2^{5}$ × 5

The prime factorization of the number is $2^{5}$ × 5

Learn more:

You can learn more about prime numbers in brainly.com/question/4550858

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