Is 459 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 459 is composite or not first we have to find its factors.
Contents
Factors of 459:
- If we have taken numbers from 1, 2, 3…for checking factors of 459, we found that 459 has factors 1, 3, 9, 17, 27, 51, 153 and 459. Hence, we must say that 459 is a composite number.
- Thus, 459 is the composite number.
- If we multiply 459 by 1, 2, 3 then we get the multiples of 459 which are 459, 918 and so on.
459 is a Composite number or Prime number
About the number 459:
- 459 has more than two factors which are 1, 3, 9, 17, 27, 51, 153 and 459 and hence it is the composite number.
- 459 is the odd composite number and it is not the perfect square also.
- If we divide 459 by 1, 3, 9, 17, 27, 51, 153 and 459 then we get remainder as zero. Hence, 1, 3, 9, 17, 27, 51, 153 and 459 are the factors of 459.
Note:
- 459 is not the perfect square.
- Factors of 459: 1, 3, 9, 17, 27, 51, 153 and 459
- Prime factors of 459: 3, 17
Conclusion:
- 459 is the composite number which has factors 1, 3, 9, 17, 27, 51, 153 and 459.
- And hence, 459 is not the prime number.
Multiple Choice Questions:
1) 459 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 459 are
a) 1
b) 3, 17
c) 1, 9, 27, 51, 153 and 459
d) 1, 3, 9, 17, 27, 51, 153 and 459
Ans: b) 3, 17
3) 459 is the odd composite number because
a) It has factors 1, 3, 9, 17, 27, 51, 153 and 459
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c