Prime factorization of 998:

Prime factorization is the process of expressing a number as a product of its prime factors. To find the prime factorization of 998, we need to determine the prime numbers that divide 998 evenly.

1. Divisible by 2:
- 998 is an even number, so it is divisible by 2.
- 998 ÷ 2 = 499

2. Divisible by 499:
- 499 is a prime number, so we have found the prime factorization of 998.

Therefore, the prime factorization of 998 is:
998 = 2 × 499

Explanation:

Prime numbers are numbers that have only two factors, 1 and the number itself. Prime factorization is the process of breaking down a composite number into its prime factors.

1. Divisible by 2:
- We start by dividing the given number, 998, by the smallest prime number, which is 2.
- Since 998 is an even number, it is divisible by 2 without leaving a remainder.
- 998 ÷ 2 = 499

2. Divisible by 499:
- The quotient obtained from the previous step, 499, is a prime number itself.
- Since there are no further prime numbers that divide 499, we have found the prime factorization of 998.

Final Result:
- The prime factorization of 998 is 2 × 499.

The prime factorization of a number helps us understand its factors and can be useful in various mathematical calculations, such as finding the greatest common divisor or simplifying fractions.

Prime factorisation of 999