1.How many natural-number factors does n have if N = 2^4 * 3^3 * 5^2 * 7^2?
2.How many distinct sequences of four letters can be made from the letters in EQUALS if each sequence must begin with L, end with Q, and no letter can appear in a sequence more than once?
1) N = 2^4 * 3^3 * 5^2 * 7^2?
Don't quite understand your question! If you multiply them together, you get 529,200 = 2^4 * 3^3 * 5^2 * 7^2. The number of factors is simply the sum of the exponents that you already have: 4+3+2+2=11 factors, but only 4 DISTINCT factors: 2, 3, 5, 7.
