1. **State the problem:** Find the factors of 35 and 70. 2. **Recall the definition:** Factors of a number are integers that divide the number exactly without leaving a remainder. 3. **Find factors of 35:** - Start with 1 and the number itself: 1 and 35. - Check integers between 1 and 35: - 5 divides 35 exactly since $35 \div 5 = 7$. - 7 divides 35 exactly since $35 \div 7 = 5$. - So, factors of 35 are $1, 5, 7, 35$. 4. **Find factors of 70:** - Start with 1 and 70. - Check integers between 1 and 70: - 2 divides 70 since $70 \div 2 = 35$. - 5 divides 70 since $70 \div 5 = 14$. - 7 divides 70 since $70 \div 7 = 10$. - 10 divides 70 since $70 \div 10 = 7$. - 14 divides 70 since $70 \div 14 = 5$. - 35 divides 70 since $70 \div 35 = 2$. - So, factors of 70 are $1, 2, 5, 7, 10, 14, 35, 70$. **Final answer:** - Factors of 35: $1, 5, 7, 35$ - Factors of 70: $1, 2, 5, 7, 10, 14, 35, 70$