Is 1638 is a Composite number

 Is 1638 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 1638 is composite or not first we have to find its factors.

 

Factors of 1638:

  • If we have taken numbers from 1, 2, 3…for checking factors of 1638, we found that 1638 has factors 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638. Hence, we must say that 1638 is a composite number.
  • Thus, 1638 is the composite number.
  • If we multiply 1638 by 1, 2, 3 then we get the multiples of 1638 which are 1638, 3276 and so on.

 

About the number 1638:

  • 1638 has more than two factors which are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638 and hence it is the composite number.
  • 1638 is the even composite number and it is not the perfect square also.
  • If we divide 1638 by 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638 are the factors of 1638.

 

Note:

  • 1638 is not the perfect square.
  • Factors of 1638: 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638
  • Prime factors of 1638: 2, 3, 7, 13

 

Conclusion:

  • 1638 is the composite number which has factors 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638
  • And hence, 1638 is not the prime number.

 

Multiple Choice Questions:

 

1) 1638 is a

a) Even number

b) Odd number

c) Composite number

d) Both a and c

Ans: d) both a and c

 

2) The prime factors of a composite number 1638 are

a) 1638

b) 2, 3, 7, 13

c) 1, 6, 9, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638

d) 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638

Ans: b) 2, 3, 7, 13

 

3) 1638 is even composite number because

a) It has factors 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819 and 1638

b) It has more than two factors

c) Divisible by 2

d) all

Ans: d) all

Updated: December 21, 2021 — 1:52 pm

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