AustinO99649 AustinO99649
  • 03-11-2022
  • Mathematics
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Given that: 100 = 2^2 * 5^2, how is 400 written as a product of its prime factors?

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AdvayJ422174 AdvayJ422174
  • 03-11-2022

Answer:

400 written as a product of it's prime factors is 2^4 * 5²

Step-by-step explanation:

We have to factore the number, dividing by prime factors(2, 3, 5, 7, ...)

400|2

200|2

100

We already have the factorization of 100. So

400 = 2²*100 = 2²*2²*5² = 2^4 * 5²

400 written as a product of it's prime factors is 2^4 * 5²

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