Is 2259 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 2259 is composite or not first we have to find its factors.
Contents
Factors of 2259:
- If we have taken numbers from 1, 2, 3…for checking factors of 2259, we found that 2259 has factors 1, 3, 9, 251, 753 and 2259. Hence, we must say that 2259 is a composite number.
- Thus, 2259 is the composite number.
- If we multiply 2259 by 1, 2, 3 then we get the multiples of 2259 which are 2259, 4518 and so on.
2259 is a Composite number or Prime number
About the number 2259:
- 2259 has more than two factors which are 1, 3, 9, 251, 753 and 2259 and hence it is the composite number.
- 2259 is the odd composite number and it is not the perfect square also.
- If we divide 2259 by 1, 3, 9, 251, 753 and 2259 then we get remainder as zero. Hence, 1, 3, 9, 251, 753 and 2259 are the factors of 2259
Note:
- 2259 is not the perfect square.
- Factors of 2259: 1, 3, 9, 251, 753 and 2259
- Prime factors of 2259: 3, 251
Conclusion:
- 2259 is the composite number which has factors 1, 3, 9, 251, 753 and 2259.
- And hence, 2259 is not the prime number.
Multiple Choice Questions:
1) 2259 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 2259 are
a) 1
b) 3, 251
c) 1 and 2259
d) 1, 3, 9, 251, 753 and 2259
Ans: b) 3, 251
3) 2259 is the composite number because
a) It has factors 1, 3, 9, 251, 753 and 2259
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