Math Problem Statement

Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Solution

The prime factorization of 1212 is:

12=22×312 = 2^2 \times 3

This means that 12 is made up of two factors of 2 and one factor of 3.

Would you like more details on how prime factorization works, or have any questions?

Here are five related questions:

  1. What is the prime factorization of 18?
  2. How can you find the prime factorization of a number?
  3. What are the prime numbers between 1 and 20?
  4. Can a prime number have more than two factors?
  5. What is the greatest common divisor (GCD) of 12 and 30 using prime factorization?

Tip: When performing prime factorization, always start with the smallest prime number, which is 2.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Factorization

Formulas

Prime factorization: Expressing a number as the product of prime numbers using exponents when necessary

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 4-6