robertaduncan robertaduncan
  • 10-07-2021
  • Mathematics
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2. Express the number 1750 as a product of prime factors of the form:
p * qr * s

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sqdancefan
sqdancefan sqdancefan
  • 10-07-2021

9514 1404 393

Answer:

  1750 = 2 · 5³ · 7

Step-by-step explanation:

It is often helpful to start with divisibility rules when finding prime factors of a small composite number.

The least-significant digit is even, so we know 2 is a factor.

  1750/2 = 875

The least significant digit is 5, so we know 5 is a factor.

  875/5 = 175

  175/5 = 35

  35/5 = 7

7 is a prime number, so we're done.

The factorization is ...

  1750 = 2 · 5³ · 7

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