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Write the prime factorization of 198 using exponents when possible.

Write the prime factorization of 198 using exponents when possible.-example-1

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Answer:

2 × 3² × 11

Explanation:

First, list some of the primes in ascending order:

2, 3, 5 ,7, 11, 13, 17, 19, 23, ...

How to find the prime factors of a number:

Start with the number and try to divide by the prime numbers starting with 2. If it's divisible, divide it. Try the same prime again until it is no longer divisible. Then move on to the next prime and do the same. Keep dividing by prime numbers until you get 1. All the prime divisors are the prime factorization.

Here is the process step by step with the number 198.

198 is even, so it is divisible by 2.

198/2 = 99

99 is not divisible by 2, but it is divisible by 3.

99/3 = 33

33 is also divisible by 3.

33/3 = 11

11 is prime.

Here is the factorization without the explanations. The boldface divisors are the prime factorization:

198/2 = 99

99/3 = 33

33/3 = 11

11/11 = 1

198 = 2 × 3 × 3 × 11

Using exponents:

198 = 2 × 3² × 11

User Peter Trobec
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