Question

Find composite numbers that have the following characteristics a number greater than 40 whose prime factorization contains 3 prime numbers that do not repeat.

and....a number greater than 1000 whose prime factorization contains 1 prime number that does not repeat, 1 prime number that repeats 3 times and 1 prime number that repeats twice.

Answer 1

Well to make it easy pick 3 prime numbers. In this case I'll use 3, 11, and 13. Multiply all 3 together to get 429. For the second part, pick a prime number and multiply it by 3, in this case 3, which when multiplied by 3 equals 9. Multiply that by a prime number squared, like 11 which is 121. Then multiply by 13. 3x3x3x11x11x13 = 42471