Chapter 4, Problem 3MCQ

To determine

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

Answer to Problem 3MCQ

61 is a prime number.

Prime factorization $1^1\times {61}^1$

Explanation of Solution

Given information:

Number 61

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)

  $61=1^1\times {61}^1$

As visible, 61 is divisible by 1 and 67 only. Hence it is prime.

Conclusion-

61 is a prime number.

Prime factorization $1^1\times {61}^1$