Is 876 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 876 is composite or not first we have to find its factors.
Contents
Factors of 876:
- If we have taken numbers from 1, 2, 3…for checking factors of 876, we found that 876 has factors 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876. Hence, we must say that 876 is a composite number.
- Thus, 876 is the composite umber.
- If we multiply 876 by 1, 2, 3 then we get the multiples of 876 which are 876, 1752 and so on.
About the number 876:
- 876 has more than two factors which are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876 and hence it is the composite number.
- 876 is the even composite number and it is not the perfect square also.
- If we divide 876 by 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876 are the factors of 876.
Note:
- 876 is not the perfect square.
- Factors of 876: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876
- Prime factors of 876: 2, 3, 73
Conclusion:
- 876 is the composite number which has factors 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876
- And hence, 876 is not the prime number.
Multiple Choice Questions:
1) 876 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 876 are
a) 1
b) 2, 3, 73
c) 1, 4, 6, 12, 146, 219, 292, 438 and 876
d) 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876
Ans: b) 2, 3, 73
3) 876 is the composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438 and 876