Is 2289 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 2289 is composite or not first we have to find its factors.
Contents
Factors of 2289:
- If we have taken numbers from 1, 2, 3…for checking factors of 2289, we found that 2289 has factors 1, 3, 7, 21, 109, 327, 763 and 2289. Hence, we must say that 2289 is a composite number.
- Thus, 2289 is the composite number.
- If we multiply 2289 by 1, 2, 3 then we get the multiples of 2289 which are 2289, 4578 and so on.
2289 is a Composite number or Prime number
About the number 2289:
- 2289 has more than two factors which are 1, 3, 7, 21, 109, 327, 763 and 2289 and hence it is the composite number.
- 2289 is the odd composite number and it is not the perfect square also.
- If we divide 2289 by 1, 3, 7, 21, 109, 327, 763 and 2289 then we get remainder as zero. Hence, 1, 3, 7, 21, 109, 327, 763 and 2289 are the factors of 2289
Note:
- 2289 is not the perfect square.
- Factors of 2289: 1, 3, 7, 21, 109, 327, 763 and 2289
- Prime factors of 2289: 3, 7, 109
Conclusion:
- 2289 is the composite number which has factors 1, 3, 7, 21, 109, 327, 763 and 2289.
- And hence, 2289 is not the prime number.
Multiple Choice Questions:
1) 2289 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 2289 are
a) 1
b) 3, 7, 109
c) 1 and 2289
d) 1, 3, 7, 21, 109, 327, 763 and 2289
Ans: b) 3, 7, 109
3) 2289 is the composite number because
a) It has factors 1, 3, 7, 21, 109, 327, 763 and 2289
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