Is 1737 a Composite number

 Is 1737 is a composite number or not ?

  • As we already know that, the number having factors 1 and the number itself is the prime number.
  • And numbers having more than these two factors are the composite numbers.
  • To check whether the number 1737 is composite or not first we have to find its factors.

 

Factors of 1737:

  • If we have taken numbers from 1, 2, 3…for checking factors of 1737, we found that 1737 has factors 1, 3, 9, 193, 579 and 1737. Hence, we must say that 1737 is a composite number.
  • Thus, 1737 is the composite number.
  • If we multiply 1737 by 1, 2, 3 then we get the multiples of 1737 which are 1737, 3474 and so on.

 

1737 is a Composite number or Prime number

About the number 1737:

  • 1737 has more than two factors which are 1, 3, 9, 193, 579 and 1737 and hence it is the composite number.
  • 1737 is the odd composite number and it is not the perfect square also.
  • If we divide 1737 by 1, 3, 9, 193, 579 and 1737 then we get remainder as zero. Hence, 1, 3, 9, 193, 579 and 1737 are the factors of 1737

 

Note:

  • 1737 is not the perfect square.
  • Factors of 1737: 1, 3, 9, 193, 579 and 1737
  • Prime factors of 1737: 3, 193

 

Conclusion:

  • 1737 is the composite number which has factors 1, 3, 9, 193, 579 and 1737.
  • And hence, 1737 is not the prime number.

 

Multiple Choice Questions:

 

1) 1737 is a

a) Even number

b) Prime number

c) Composite number

d) Both a and c

Ans: c) composite number

 

2) The non-prime factors of a composite number 1737 are

a) 1

b) 3, 193

c) 1, 9, 579 and 1737

d) 1, 3, 9, 193, 579 and 1737

Ans: b) 1, 9, 579 and 1737

 

3) 1737 is the odd composite number because

a) It has factors 1, 3, 9, 193, 579 and 1737

b) It has more than two factors

c) It is not divisible by 2

d) all

Ans: d) all

Updated: February 26, 2022 — 2:27 pm

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