Questions: Find the prime factorization of the composite number. 285 285=

Solution Steps

To find the prime factorization of a composite number, we need to divide the number by the smallest prime number possible and continue the process with the quotient until the quotient itself is a prime number. The prime factorization is the list of all prime numbers used in this division process.

We are given the composite number $285$.

To find the prime factorization of $285$, we divide it by the smallest prime numbers:

1. $285 \div 3 = 95$ (since $285$ is divisible by $3$)
2. $95 \div 5 = 19$ (since $95$ is divisible by $5$)
3. $19$ is a prime number.

Thus, we can express $285$ as the product of its prime factors:

$$285 = 3 \times 5 \times 19$$

Final Answer