Practice with prime numbers.
1. What is the most important thing (the most useful property) about prime numbers?
2. Find the prime factorization of each of these numbers:
a. 308
b. 975
c. 343
d. 170
3. Write down the first 10 prime numbers
4. Determine whether each of these numbers is prime. If it isn't prime, give its prime factorization. If it is prime, tell what numbers you tried dividing by to determine that it is prime.
a. 181
b. 231
c. 323
d. 401
5. Find the remainder for each of these division problems:
a. 13,691 ÷ 167
b. 287,911 ÷ 211
c. 59,621 ÷ 97
d. 78,443 ÷ 577