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
Step 1: Find the missing factor in the square. The number 130 is factored into 13 and another number. To find this number, divide 130 by 13. 130 ÷ 13 = 10 So, the number in the square is 10. Step 2: Find the prime factors of 10. The number 10 is not prime, so it needs to be factored further into its prime components. The prime factors of 10 are 2 and 5. 10 = 2 × 5 So, the numbers in the two empty circles are 2 and 5. Step 3: Write the prime factor decomposition of 130. The prime factors are the numbers at the end of each branch: 13, 2, and 5. Writing them in ascending order gives the prime factor decomposition. 130 = 2 × 5 × 13 The prime factor decomposition of 130 is 2 × 5 × 13. Send me the next one 📸