## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$2\times7^{2}$
A number is prime if it has only two factors: 1 and itself. We know that the factors of 98 are 1, 2, 7, 14, 49, and 98. 2 is a prime number, so we can divide 98 by 2 $98\div2=49$ The factors of 49 are 1, 7, and 49. Since 7 is a prime number, divide by 7. $49\div7=7$ 7 is also a prime number Therefore, the prime factorization of 98 is $2\times7\times7=2\times7^{2}$.