Multiple choice

If M = 34 $\times$ 65 $\times$ 133, which of the following groups gives the representation of M as a product of prime factors?

  1. 2 $\times$ 5 $\times$ 11 $\times$ 13 $\times$ 17
  2. 2 $\times$ 5 $\times$ 7 $\times$ 13 $\times$ 19
  3. 2 $\times$ 7 $\times$ 13 $\times$ 17 $\times$ 19
  4. 2 $\times$ 5 $\times$ 7 $\times$ 13 $\times$ 17 $\times$ 19
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D Correct answer
Explanation

M = 34 $\times$ 65 $\times$ 133 M = 2 $\times$ 17 $\times$ 13 $\times$ 5 $\times$ 19 $\times$ 7     = 2 $\times$ 5 $\times$ 7 $\times$ 13 $\times$ 17 $\times$ 19

AI explanation

Factoring each number into primes: 34 = 2 x 17, 65 = 5 x 13, and 133 = 7 x 19. Multiplying these together gives M as the product 2 x 5 x 7 x 13 x 17 x 19, which matches exactly one of the listed prime factorizations.

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