Is 867 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 867 is composite or not first we have to find its factors.
Contents
Factors of 867:
- If we have taken numbers from 1, 2, 3…for checking factors of 867, we found that 867 has factors 1, 3, 17, 51, 289 and 867. Hence, we must say that 867 is a composite number.
- Thus, 867 is the composite number.
- If we multiply 867 by 1, 2, 3 then we get the multiples of 867 which are 867, 1734 and so on.
867 is a Composite number or Prime number
About the number 867:
- 867 has more than two factors which are 1, 3, 17, 51, 289 and 867 and hence it is the composite number.
- 867 is the odd composite number and it is not the perfect square also.
- If we divide 867 by 1, 3, 17, 51, 289 and 867 then we get remainder as zero. Hence, 1, 3, 17, 51, 289 and 867 are the factors of 867
Note:
- 867 is not the perfect square.
- Factors of 867: 1, 3, 17, 51, 289 and 867
- Prime factors of 867: 3, 17
Conclusion:
- 867 is the composite number which has factors 1, 3, 17, 51, 289 and 867.
- And hence, 867 is not the prime number.
Multiple Choice Questions:
1) 867 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 867 are
a) 1
b) 3, 17
c) 1, 51, 289 and 867
d) 1, 3, 17, 51, 289 and 867
Ans: b) 3, 17
3) 867 is the odd composite number because
a) It has factors 1, 3, 17, 51, 289 and 867
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c