The expression given is \( m^2 - 10m + 25 \). To find the factors, let's follow these steps:

1. **Recognize the form**: The expression is a quadratic trinomial of the form \( ax^2 + bx + c \), where \( a = 1 \), \( b = -10 \), and \( c = 25 \).

2. **Factor the quadratic**: 
   - First, we check if the quadratic can be factored into the form \( (m + p)(m + q) \).
   - We need two numbers \( p \) and \( q \) such that:
     - \( p \times q = 25 \) (the constant term)
     - \( p + q = -10 \)

Learn how to factor the quadratic expression m^2 - 10m + 25 with a detailed step-by-step solution. This problem covers key algebraic concepts, including factoring quadratic equations and the quadratic formula. Suitable for students in Grades 7-9.

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