Complete the prime factorizations for the following numbers: a. 1234, b. 2134, c. 1243, d. 2143, e. 1324, f. 2314

Here are the solutions to the problems.

2. Prime Numbers and Factorization

First, let's complete the factorizations for the given numbers. Numbers ending in an even digit (2 or 4) are divisible by 2.

• a. $1234 = 2 \times 617$
• b. $2134 = 2 \times 1067$
• c. $1243 = 11 \times 113$
• d. 2143 (Prime)
• e. $1324 = 2 \times 2 \times 331$
• f. $2314