Math Problem Statement

Prime numbers of 96

Solution

Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. To find the prime numbers related to 96, we look for the prime factors of 96.

Let's break down 96 into its prime factors:

  • 96 is an even number, so we can divide by 2 (the smallest prime number):

    96÷2=4896 \div 2 = 48

  • 48 is also even, so we divide by 2 again:

    48÷2=2448 \div 2 = 24

  • Continuing:

    24÷2=1224 \div 2 = 12

    12÷2=612 \div 2 = 6

    6÷2=36 \div 2 = 3

  • Now, 3 is a prime number.

Thus, the prime factorization of 96 is: 96=25×396 = 2^5 \times 3 So, the prime numbers associated with 96 are 2 and 3.

Would you like further details or explanations?

Here are five related questions to explore:

  1. What are prime numbers?
  2. How can we find prime factors of any number?
  3. What is the importance of prime numbers in mathematics?
  4. How do prime factorizations help in finding the greatest common divisor (GCD)?
  5. What is the least common multiple (LCM) and how is it related to prime factorization?

Tip: Prime factorization is very useful for simplifying fractions and finding GCD or LCM of numbers.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Prime Factorization

Formulas

Prime factorization of 96: 96 = 2^5 × 3

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 6-8