To calculate this interesting number you need to use the five smallest prime numbers. A Prime number is one which is not evenly divisible by any other number (except itself and 1). The first prime number is 2. then we have 3, 5, 7, 11, 13, 17 and so on. So, if you multiply 2 x 3 x 5 x 7 x 11 you'll get the smallest number with 5 different prime factors.
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The smallest number that has 5 different prime factors is 2 x 3 x 5 x 7 x 11, which equals 2310. This number is the product of the first five prime numbers. Prime factors are numbers that are only divisible by 1 and themselves, and in this case, the number 2310 has exactly 5 distinct prime factors.
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
1155
How about: 105
30,030 Factorization: 2x3x5x7x11x13
The smallest number with three different prime factors is 30.