## Basic College Mathematics (9th Edition)

In order to find the prime factorization of 100, we can try to divide 100 by the first prime, 2. $100\div2=50$ Try to divide 50 by 2. $50\div2=25$ 25 cannot be divided by 2 or 3, so we divide 25 by the next prime number, 5. $25\div5=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 100 is $2\times2\times5\times5=2^{2}\times5^{2}$.