Is 2115 a Composite number

 Is 2115 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 2115 is composite or not first we have to find its factors.

 

Factors of 2115:

  • If we have taken numbers from 1, 2, 3…for checking factors of 2115, we found that 2115 has factors 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115. Hence, we must say that 2115 is a composite number.
  • Thus, 2115 is the composite number.
  • If we multiply 2115 by 1, 2, 3 then we get the multiples of 2115 which are 2115, 4230 and so on.

 

 2115 is a Composite number or Prime number

About the number 2115:

  • 2115 has more than two factors which are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115 and hence it is the composite number.
  • 2115 is the odd composite number and it is not the perfect square also.
  • If we divide 2115 by 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115 are the factors of 2115

 

Note:

  • 2115 is not the perfect square.
  • Factors of 2115: 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115
  • Prime factors of 2115: 3, 5, 47

 

Conclusion:

  • 2115 is the composite number which has factors 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115.
  • And hence, 2115 is not the prime number.

 

Multiple Choice Questions:

 

1) 2115 is a

a) odd number

b) Prime number

c) Composite number

d) Both a and c

Ans: d) both a and c

 

2) The prime factors of a composite number 2115 are

a) 1

b) 3, 5, 47

c) 1, 9, 15, 45, 141, 235, 423, 705 and 2115

d) 1, 3, 5, 9, 15, 45, 7, 141, 235, 423, 705 and 2115

Ans: b) 3, 5, 47

 

3) 2115 is the composite number because

a) It has factors 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705 and 2115

b) It has more than two factors

c) It is not divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: March 3, 2022 — 4:42 pm

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