toshpeter174 toshpeter174
  • 10-08-2020
  • Mathematics
contestada

a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take​

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sqdancefan
sqdancefan sqdancefan
  • 10-08-2020

Answer:

  70, 140, 280, 350

Step-by-step explanation:

Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.

Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...

So, the four smallest numbers with prime factors of 2, 5, and 7 are ...

  70 = 2·5·7

  140 = 2²·5·7

  280 = 2³·5·7

  350 = 2·5²·7

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