Figure it Out
1. Find the prime factorisations of the following numbers: 64,104 , \( 105,243,320,141,1728,729,1024,1331,1000 \).
2. The prime factorisation of a number has one 2 , two 3 s , and one 11. What is the number?
3. Find three prime numbers, all less than 30 , whose product is 1955 .
4. Find the prime factorisation of these numbers without multiplying first
a. \( 56 \times 25 \)
b. \( 108 \times 75 \)
c. \( 1000 \times 81 \)
5. What is the smallest number whose prime factorisation has:
a. three different prime numbers?
b. four different prime numbers?