Math Problem Statement
Determine if the number is prime or composite.
Remember to use your divisibilty rules to help decide. If any of the rules work, it is composite.
60
Solution
The number 60 is composite.
Let's break this down using divisibility rules:
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Divisibility by 2: Since 60 is an even number, it's divisible by 2. Therefore, 60 is divisible by 2.
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Divisibility by 3: Add the digits of 60: . Since 6 is divisible by 3, so is 60. Therefore, 60 is divisible by 3.
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Divisibility by 5: Since 60 ends in a 0, it is divisible by 5. Therefore, 60 is divisible by 5.
Since 60 is divisible by multiple numbers (2, 3, and 5), it is composite.
Would you like further details or have any questions? Here are 5 related questions to deepen your understanding:
- What is the prime factorization of 60?
- How many divisors does 60 have?
- What is the greatest common divisor (GCD) of 60 and 48?
- Is 45 a prime or composite number?
- Can you list all the prime numbers less than 60?
Tip: Any number greater than 1 that has divisors other than 1 and itself is composite. Prime numbers have only two divisors: 1 and the number itself.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Divisibility Rules
Prime and Composite Numbers
Formulas
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Theorems
Divisibility Theorem
Definition of Prime and Composite Numbers
Suitable Grade Level
Grades 5-7