Ashleyburnett81
Ashleyburnett81 Ashleyburnett81
  • 05-03-2018
  • Mathematics
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the prime factorization of a certain number is 2 to the 3rd power times 3 times 5 to the second power what is the number and how did you get it

the prime factorization of a certain number is 2 to the 3rd power times 3 times 5 to the second power what is the number and how did you get it class=

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carlafossil320
carlafossil320 carlafossil320
  • 05-03-2018
The prime factorisation of a number is just writing how many prime numbers (numbers only divisible by 1 or themselves) go into a number.
First, we can write out the value of each number with an indicie:
[tex] {2}^{3} = 8 \\ {5}^{2} = 25[/tex]
Next, we replace the numbers with indicies in the question with their values:
8×3×25
Now, just multiply these numbers together to get your answer:
8×3×25=600
So, the number is 600
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