Is 289 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 289 is composite or not first we have to find its factors.
Contents
Factors of 289:
- If we have taken numbers from 1, 2, 3…for checking factors of 289, we found that 289 has factors 1, 17 and 289. Hence, we must say that 289 is a composite number.
- Thus, 289 is the composite number.
- If we multiply 289 by 1, 2, 3 then we get the multiples of 289 which are 289, 578 and so on.
289 is a Composite number or Prime number
About the number 289:
- 289 has more than two factors which are 1, 17 and 289 and hence it is the composite number.
- 289 is the odd composite number and it is the perfect square also.
- If we divide 289 by 1, 17 and 289 then we get remainder as zero. Hence, 1, 17 and 289 are the factors of 289.
Note:
- 289 is the perfect square.
- Factors of 289: 1, 17 and 289
- Prime factors of 289: 17
Conclusion:
- 289 is the composite number which has factors 1, 17 and 289.
- And hence, 289 is not the prime number.
Multiple Choice Questions:
1) 289 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 289 are
a) 1
b) 17
c) 1 and 289
d) 1, 17 and 289
Ans: b) 17
3) 289 is the odd composite number because
a) It has factors 1, 17 and 289
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c