1. **State the problem:** Solve by factorization the expression $$315 \times \frac{2}{7} - 112 \times \frac{2}{7} + \frac{2}{7} \times 35$$. 2. **Identify the common factor:** Notice that each term contains the factor $$\frac{2}{7}$$. 3. **Factor out the common factor:** $$ 315 \times \frac{2}{7} - 112 \times \frac{2}{7} + \frac{2}{7} \times 35 = \frac{2}{7} (315 - 112 + 35) $$ 4. **Explain:** Factoring means taking out the common factor from all terms to simplify the expression inside the parentheses. 5. **Final expression after factorization:** $$ \frac{2}{7} (315 - 112 + 35) $$ This is the factorized form as requested, without simplifying the terms inside the parentheses.