Math Problem Statement

Identify the number below as either a prime number or a composite number. If it is composite, give one prime divisor (factor) other than the number itself and
1 . If it is prime, answer "DNE."

125

Solution

The number 125 is a composite number. It can be expressed as:

125=5×5×5=53125 = 5 \times 5 \times 5 = 5^3

Thus, one prime divisor of 125 is 5.

Would you like further details or have any questions?

Here are 5 related questions to explore further:

  1. What are all the factors of 125?
  2. How do you check if a number is prime?
  3. What is the prime factorization of a number?
  4. Can a number have more than one prime divisor?
  5. How do you find the greatest common divisor (GCD) of two numbers?

Tip: When finding prime factors, always start by checking small prime numbers like 2, 3, 5, etc.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime and Composite Numbers
Prime Factorization

Formulas

Prime Factorization: n = p₁^a₁ * p₂^a₂ * ... * pₙ^aₙ

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 5-7