Find All Factors of 12: A Comprehensive Guide

Question

Write all the factors of the following number: 12 12

Video Solution

Step-by-Step Solution

To find all the factors of 12, we will perform a prime factorization:

  • Start with the smallest prime number, 2. Since 12 is divisible by 2, we divide 12 by 2:
    • 12÷2=6 12 \div 2 = 6
  • Next, we have 6, which is also divisible by 2:
    • 6÷2=3 6 \div 2 = 3
  • Now we are left with 3, which is a prime number and divisible by itself:
    • 3÷3=1 3 \div 3 = 1

Since we reached 1, the division process stops.

Therefore, the prime factors of 12 are 2,2, 2, 2, and 3 3 .

Expressing 12 using these factors: 12=2×2×3 12 = 2 \times 2 \times 3 .

Thus, the correct list of factors is given by choice 2: 3,2,2 3, 2, 2 .

Answer

3,2,2 3,2,2