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Descompón en factores primos los siguientes números, utilizando la técnica que más te guste.

a. 54
b. 84
c. 96
d. 154
e. 256
f. 495
g. 729
h. 1024

Answer :

Final answer:

To decompose the given numbers into prime factors, we find the prime numbers that multiply together to make the given number. Example decompositions are provided.


Explanation:

To decompose numbers into prime factors, we need to find the prime numbers that multiply together to make the given number. Let's decompose the given numbers:

  1. 54: 2 x 3 x 3 x 3 = 2^1 x 3^3
  2. 84: 2 x 2 x 3 x 7 = 2^2 x 3 x 7
  3. 96: 2 x 2 x 2 x 2 x 2 x 3 = 2^5 x 3
  4. 154: 2 x 7 x 11 = 2 x 7 x 11
  5. 256: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^8
  6. 495: 3 x 3 x 5 x 11 = 3^2 x 5 x 11
  7. 729: 3 x 3 x 3 x 3 x 3 x 3 = 3^6
  8. 1024: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^10

Learn more about Decomposing numbers into prime factors here:

https://brainly.com/question/22813348


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Rewritten by : Barada

Final answer:

The given numbers can be factored into prime factors as follows: a. 54 = 2 × 3 × 3 × 3, b. 84 = 2 × 2 × 3 × 7, c. 96 = 2 × 2 × 2 × 2 × 2 × 3, d. 154 = 2 × 7 × 11, e. 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2, f. 495 = 3 × 3 × 5 × 11, g. 729 = 3 × 3 × 3 × 3 × 3 × 3, h. 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.

Explanation:

a. 54 = 2 × 3 × 3 × 3 = 2 × (3 × 3 × 3) = 2 × 3³
b. 84 = 2 × 2 × 3 × 7 = 2² × 3 × 7
c. 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2⁵ × 3
d. 154 = 2 × 7 × 11
e. 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁸
f. 495 = 3 × 3 × 5 × 11
g. 729 = 3 × 3 × 3 × 3 × 3 × 3 = 3⁶
h. 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2¹⁰