Is 546 is a Composite number

 Is 546 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 546 is composite or not first we have to find its factors.

 

Factors of 546:

  • If we have taken numbers from 1, 2, 3…for checking factors of 546, we found that 546 has factors 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273 and 546. Hence, we must say that 546 is a composite number.
  • Thus, 546 is the composite umber.
  • If we multiply 546 by 1, 2, 3 then we get the multiples of 546 which are 546, 1092 and so on.

 

About the number 546:

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

 

Note:

  • 546 is not the perfect square.
  • Factors of 546: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273 and 546
  • Prime factors of 546: 2, 3, 7, 13

 

Conclusion:

  • 546 is the composite number which has factors 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273 and 546
  • And hence, 546 is not the prime number.

 

Multiple Choice Questions:

 

1) 546 is a

a) Prime number

b) Even number

c) Composite number

d) Both b and c

Ans: d) both b and c

 

2) The prime factors of a composite number 546 are

a) 1

b) 2, 3, 7, 13

c) 1, 6, 14, 21, 26, 39, 42, 78, 91, 182, 273 and 546

d) 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273 and 546

Ans: b) 2, 3, 7, 13

 

3) 546 is the even composite number because

a) It has two factors

b) More than two factors

c) Divisible by 2

d) Both b and c

Ans: d) both b and c

Updated: December 7, 2021 — 4:11 pm

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