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36 votes
36 votes
2. Express the number 1750 as a product of prime factors of the form:
p * qr * s

User Niels Billen
by
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1 Answer

8 votes
8 votes

9514 1404 393

Answer:

1750 = 2 · 5³ · 7

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

User Manmohan Pal
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3.2k points