To find the prime factors of 998, we divide the number by the smallest prime numbers until we reach 1. Here’s the process:

1. **Divide by 2** (the smallest prime number):
   \[
   998 \div 2 = 499
   \]

2. **499** is not divisible by 2, so we move to the next smallest prime number, which is **3**. Checking divisibility by 3:
   \[
   499 \div 3 \text{ does not result in an integer, so it's not divisible by 3.}
   \]

3. **Next, check divisibility by 5**:
   \[
   499 \div 5 \text{ also does not result in an integer, so it's not divisible by 5.}
   \]

4. **Next, check divisibility by 7**:
   \[
   499 \div 7 \text{ also does not result in an integer, so it's not divisible by 7.}
   \]

5. **Next, check divisibility by 11**:
   \[
   499 \div 11 \text{ also does not result in an integer, so it's not divisible by 11.}
   \]

6. Since 499 is not divisible by any primes up to 11, we check if 499 is a prime number itself. After testing divisibility by all primes up to the square root of 499, we find that 499 is a prime number.

Thus, the prime factorization of 998 is:

\[
998 = 2 \times 499
\]

So, the prime factors of 998 are **2** and **499**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How can you check if a large number is prime?
2. What are the prime factors of 499?
3. What is the prime factorization of 500?
4. How do prime factors help in simplifying fractions?
5. Can prime factorization be used to find square roots?

**Tip:** When checking for prime factors, only test divisibility up to the square root of the number.

Discover the prime factors of 998 with a detailed step-by-step guide. Learn how to apply prime factorization to break down 998 into its prime components. Suitable for Grades 6-8.

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