Is 2030 is a Composite number

 Is 2030 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 2030 is composite or not first we have to find its factors.

 

Factors of 2030:

  • If we have taken numbers from 1, 2, 3…for checking factors of 2030, we found that 2030 has factors 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030. Hence, we must say that 2030 is a composite number.
  • Thus, 2030 is the composite number.
  • If we multiply 2030 by 1, 2, 3 then we get the multiples of 2030 which are 2030, 4060 and so on.

 

About the number 2030:

  • 2030 has more than two factors which are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030 and hence it is the composite number.
  • 2030 is the even composite number and it is not the perfect square also.
  • If we divide 2030 by, 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030 then we get remainder as zero. Hence, 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030 are the factors of 2030.

 

Note:

  • 2030 is not the perfect square.
  • Factors of 2030: 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030
  • Prime factors of 2030: 2, 5, 7, 29

 

Conclusion:

  • 2030 is the composite number which has factors 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030
  • And hence, 2030 is not the prime number.

 

Multiple Choice Questions:

 

1) 2030 is a

a) Prime number

b) Odd number

c) Composite number

d) Both a and c

Ans: c) composite number

 

2) The non-prime factors of a composite number 2030 are

a) 2030

b) 2, 5, 7, 29

c) 1, 10, 14, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030

d) 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030

Ans: c) 1, 10, 14, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030

 

3) 2030 is composite number because

a) It has factors 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030

b) It has only two factors

c) Divisible by 2

d) Both a and c

Ans: a) it has factors 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015 and 2030

Updated: December 27, 2021 — 12:05 pm

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