Find the Prime Factorization 98

Problem

98

Solution

1. Identify the smallest prime number that divides the given number. Since 98 is even, it is divisible by 2

2. Divide the number by the prime factor:

98÷2=49

3. Identify the next prime factor for the quotient. The number 49 is not divisible by 2 3 or 5 but it is divisible by 7

4. Divide the quotient by this prime factor:

49÷7=7

5. Identify that the remaining quotient 7 is itself a prime number.

6. Write the prime factorization as a product of these prime factors, using exponents for repeated factors.

98=2⋅7⋅7

Final Answer

98=2⋅7

Want more problems? Check here!