#### Answer

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