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:
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96 is an even number, so we can divide by 2 (the smallest prime number):
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48 is also even, so we divide by 2 again:
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Continuing:
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Now, 3 is a prime number.
Thus, the prime factorization of 96 is: 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:
- What are prime numbers?
- How can we find prime factors of any number?
- What is the importance of prime numbers in mathematics?
- How do prime factorizations help in finding the greatest common divisor (GCD)?
- 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.
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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