This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The method shown in the image has an error in the first division. Let's correct it. Step 1: Divide 1521 by the smallest prime factor, which is 3. The sum of the digits of 1521 is 1+5+2+1=9, which is divisible by 3. 1521 ÷ 3 = 507 The image incorrectly shows 57 here. Step 2: Divide 507 by its smallest prime factor, which is 3. The sum of the digits of 507 is 5+0+7=12, which is divisible by 3. 507 ÷ 3 = 169 Step 3: Divide 169 by its smallest prime factor. 169 is not divisible by 3, 5, 7, or 11. It is divisible by 13. 169 ÷ 13 = 13 Step 4: Divide 13 by its smallest prime factor, which is 13. 13 ÷ 13 = 1 Step 5: Write the prime factorization. 1521 = 3 × 3 × 13 × 13 Step 6: Express the prime factorization using exponents. 1521 = 3^2 × 13^2 The prime factorization of 1521 is 3^2 × 13^2. 3 done, 2 left today. You're making progress.