Is 868 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 868 is composite or not first we have to find its factors.
Contents
Factors of 868:
- If we have taken numbers from 1, 2, 3…for checking factors of 868, we found that 868 has factors 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868. Hence, we must say that 868 is a composite number.
- Thus, 868 is the composite umber.
- If we multiply 868 by 1, 2, 3 then we get the multiples of 868 which are 868, 1736 and so on.
About the number 868:
- 868 has more than two factors which are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868 and hence it is the composite number.
- 868 is the even composite number and it is not the perfect square also.
- If we divide 868 by 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868 are the factors of 868.
Note:
- 868 is not the perfect square.
- Factors of 868: 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868
- Prime factors of 868: 2, 7, 31
Conclusion:
- 868 is the composite number which has factors 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868
- And hence, 868 is not the prime number.
Multiple Choice Questions:
1) 868 is a
a) Odd number
b) Prime number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 868 are
a) 1
b) 2, 7, 31
c) 1, 4, 14, 28, 62, 124, 217, 434 and 868
d) 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868
Ans: b) 2, 7, 31
3) 868 is the composite number because
a) It has factors 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434 and 868