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# Why is it impossible to find a number that is 1 through 200 that is divisible by four prime numbers?

Updated: 8/30/2023

Wiki User

13y ago

The four smallest prime numbers are 2, 3, 5, and 7. Their product is 2 x 3 x 5 x 7 = 210. Thus, the smallest number that is divisible by four different prime numbers is 210.

Wiki User

13y ago

Wiki User

7y ago

All multiples of 4 are even. The only even Prime number is 2.

All multiples of any number greater than 1 are not prime.

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Q: Why is it impossible to find a number that is 1 through 200 that is divisible by four prime numbers?
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