Chapter 4, Problem 1MCQ

To determine

To determine whether the number is prime or composite. If composite, write its prime factorization using exponents

Answer to Problem 1MCQ

46 is a composite number.

Prime factorization $2^1\times {23}^1$

Explanation of Solution

Given information:

Number 46

Calculation:

To determine whether a number is prime or composite, break it down into its factors.

A number is prime if it divisible by only two numbers 1 & itself.

A number is composite if it is divisible by more than two numbers (including 1 & and the number itself)

  $46=2^1\times {23}^1\times 1$

As visible, 46 is divisible by 1, 2, 23 & 46. Hence it is composite.

Conclusion-

46 is a composite number.

Prime factorization $2^1\times {23}^1$