# Chapters 1-2 - Cumulative Review Exercises: 34

2 * $5^{2}$ * 7

#### Work Step by Step

350 Try to divide 350 by the first prime number 2 350 = 175 * 2 Try to divide 175 by the prime number 5 175 = 35 * 5 Try to divide 35 by the prime number 5 35 = 7 * 5 So, 350 = 2 * 5* 5 *7 Because all factors are prime, the prime factorization of 350 is 2 * 5*5*7 = 2 * $5^{2}$ * 7

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