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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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Q: What is the smallest number that has 5 different prime factors?

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The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210

How about: 105

1155

30,030 Factorization: 2x3x5x7x11x13

210 with factors of 2, 3, 5, and 7

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The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210

Logically, the smallest number with 4 different prime factors would have to be the product of the smallest four prime numbers. So the smallest natural number with four different prime factors is 210 (2*3*5*7).

1155

How about: 105

As a product of its prime factors: 2*3*5*7 = 210

5 and 11

30,030 Factorization: 2x3x5x7x11x13

1155

what is the smallest positive integer that has four different prime factors

If a number has 5 factors then it most certainly is not prime. Hence there is some confusion as to what you are asking here.

210 with factors of 2, 3, 5, and 7

210, welcome :D

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