Is 1386 is a Composite number

 Is 1386 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 1386 is composite or not first we have to find its factors.

 

Factors of 1386:

  • If we have taken numbers from 1, 2, 3…for checking factors of 1386, we found that 1386 has factors 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386. Hence, we must say that 1386 is a composite number.
  • Thus, 1386 is the composite number.
  • If we multiply 1386 by 1, 2, 3 then we get the multiples of 1386 which are 1386, 2772 and so on.

 

About the number 1386:

  • 1386 has more than two factors which are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386 and hence it is the composite number.
  • 1386 is the even composite number and it is not the perfect square also.
  • If we divide 1386 by 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386 are the factors of 1386.

 

Note:

  • 1386 is not the perfect square.
  • Factors of 1386: 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386
  • Prime factors of 1386: 2, 3, 7, 11

 

Conclusion:

  • 1386 is the composite number which has factors 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386
  • And hence, 1386 is not the prime number.

 

Multiple Choice Questions:

 

1) 1386 is a

a) Even number

b) Not a perfect square number

c) Composite number

d) all

Ans: d) all

 

2) The composite factors of a composite number 1386 are

a) 6, 9, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386

b) 2, 3, 7, 11

c) 1, 6, 9, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386

d) 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386

Ans: a) 6, 9, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386

 

3) 1386 is composite number because

a) It has factors1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386

b) It has more than two factors

c) Divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: December 17, 2021 — 4:40 pm

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