Is 872 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 872 is composite or not first we have to find its factors.
Contents
Factors of 872:
- If we have taken numbers from 1, 2, 3…for checking factors of 872, we found that 872 has factors 1, 2, 4, 8, 109, 218, 436 and 872. Hence, we must say that 872 is a composite number.
- Thus, 872 is the composite umber.
- If we multiply 872 by 1, 2, 3 then we get the multiples of 872 which are 872, 1744 and so on.
About the number 872:
- 872 has more than two factors which are 1, 2, 4, 8, 109, 218, 436 and 872 and hence it is the composite number.
- 872 is the even composite number and it is not the perfect square also.
- If we divide 872 by 1, 2, 4, 8, 109, 218, 436 and 872 then we get remainder as zero. Hence, 1, 2, 4, 8, 109, 218, 436 and 872 are the factors of 872.
Note:
- 872 is not the perfect square.
- Factors of 872: 1, 2, 4, 8, 109, 218, 436 and 872
- Prime factors of 872: 2, 109
Conclusion:
- 872 is the composite number which has factors 1, 2, 4, 8, 109, 218, 436 and 872
- And hence, 872 is not the prime number.
Multiple Choice Questions:
1) 872 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 872 are
a) 1
b) 2, 109
c) 1, 4, 8, 218, 436 and 872
d) 1, 2, 4, 8, 109, 218, 436 and 872
Ans: b) 2, 109
3) 872 is the composite number because
a) It has factors 1, 2, 4, 8, 109, 218, 436 and 872
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 4, 8, 109, 218, 436 and 872