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The objective of prime factorization is, as the name implies, to find the prime numbers that divide that number exactly; that is, to find the factors of that number that are prime. This is done by dividing the given number (in this case, 98) by prime numbers until you cannot divide further. Given the number 98, then, let us start by dividing by 2. Division by 2 is typically a good starting point for even numbers, since 2 is prime. We are left with 49, and we now know that 2 is a prime factor. We can divide 49 by 7, leaving us with 7 and the knowledge that 2 and 7 are prime factors. We can't divide 7 any further, so it must be the last prime factor. In other words, 98 = 2 x 7 x 7. This is the prime factorization of 98.
2 x 7 x 7
2 x 7 x 7 = 98
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