Answer
$2\times7^{2}$
Work Step by Step
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 $2\times7\times7=2\times7^{2}$.
