Is 2349 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 2349 is composite or not first we have to find its factors.
Contents
Factors of 2349:
- If we have taken numbers from 1, 2, 3…for checking factors of 2349, we found that 2349 has factors 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349. Hence, we must say that 2349 is a composite number.
- Thus, 2349 is the composite number.
- If we multiply 2349 by 1, 2, 3 then we get the multiples of 2349 which are 2349, 4698 and so on.
2349 is a Composite number or Prime number
About the number 2349:
- 2349 has more than two factors which are 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349 and hence it is the composite number.
- 2349 is the odd composite number and it is not the perfect square also.
- If we divide 2349 by 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349 then we get remainder as zero. Hence, 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349 are the factors of 2349
Note:
- 2349 is not the perfect square.
- Factors of 2349: 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349
- Prime factors of 2349: 3, 29
Conclusion:
- 2349 is the composite number which has factors 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349.
- And hence, 2349 is not the prime number.
Multiple Choice Questions:
1) 2349 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 2349 are
a) 1
b) 3, 29
c) 1 and 2349
d) 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349
Ans: b) 3, 29
3) 2349 is the composite number because
a) It has factors 1, 3, 9, 27, 29, 81, 87, 261, 783 and 2349
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