Is 2745 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 2745 is composite or not first we have to find its factors.
Contents
Factors of 2745:
- If we have taken numbers from 1, 2, 3…for checking factors of 2745, we found that 2745 has factors 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745. Hence, we must say that 2745 is a composite number.
- Thus, 2745 is the composite number.
- If we multiply 2745 by 1, 2, 3 then we get the multiples of 2745 which are 2745, 5490 and so on.
2745 is a Composite number or Prime number
About the number 2745:
- 2745 has more than two factors which are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745 and hence it is the composite number.
- 2745 is the odd composite number and it is not the perfect square also.
- If we divide 2745 by 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745 are the factors of 2745
Note:
- 2745 is not the perfect square.
- Factors of 2745: 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745
- Prime factors of 2745: 3, 5, 61
Conclusion:
- 2745 is the composite number which has factors 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745.
- And hence, 2745 is not the prime number.
Multiple Choice Questions:
1) 2745 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 2745 are
a) 1
b) 3, 5, 61
c) 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745
d) 1, 9, 15, 45, 183, 305, 549, 915 and 2745
Ans: d) 1, 9, 15, 45, 183, 305, 549, 915 and 2745
3) 2745 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915 and 2745
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all