Is 2709 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 2709 is composite or not first we have to find its factors.
Contents
Factors of 2709:
- If we have taken numbers from 1, 2, 3…for checking factors of 2709, we found that 2709 has factors 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709. Hence, we must say that 2709 is a composite number.
- Thus, 2709 is the composite number.
- If we multiply 2709 by 1, 2, 3 then we get the multiples of 2709 which are 2709, 5418 and so on.
2709 is a Composite number or Prime number
About the number 2709:
- 2709 has more than two factors which are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709 and hence it is the composite number.
- 2709 is the odd composite number and it is not the perfect square also.
- If we divide 2709 by 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709 then we get remainder as zero. Hence 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709 are the factors of 2709
Note:
- 2709 is not the perfect square.
- Factors of 2709: 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709
- Prime factors of 2709: 3, 7, 43
Conclusion:
- 2709 is the composite number which has factors 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709.
- And hence, 2709 is not the prime number.
Multiple Choice Questions:
1) 2709 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 2709 are
a) 1
b) 3, 7, 43
c) 1 and 2709
d) 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709
Ans: b) 3, 7, 43
3) 2709 is the composite number because
a) It has factors 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903 and 2709
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